{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "647d6222",
   "metadata": {},
   "source": [
    "## Matplotlib绘图属性设置"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "fceb3db5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.rcParams['font.sans-serif'] = 'SimHei'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6ff7f24",
   "metadata": {},
   "source": [
    "## 绘图基本属性\n",
    "\n",
    "#### 图例\n",
    "- legend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2e036144",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1697ed9fa90>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "plt.plot(x, np.sin(x), label='sin')\n",
    "plt.plot(x, np.cos(x), label='cos')\n",
    "\n",
    "# 图例\n",
    "plt.legend() # 注意前面的plot方法指定了label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "16cb9c25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1697ee25700>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fQFBb1YkclhQRNY1/KNz7Azi5w5E/YdM7FTrdmoNnee2PAwC8eFs4fVoH2SNlrTe0YzD/LpyYa8L3ezh1IVtxIiEEAIdXwsbCv5tDP9JmChYlkiKiJgq+AW57S9tf8xqc3Fqu0xw8Y2L8t7ux2eCeziE81CPUjiHFlMHhdAjxw5iTz7gFu8jNd/xl3oWo0Uwp2mUMgM6PQoe71eapBqSIqKk63Qft79LGNS96SOtlfB1Mufk8Mj+WrDwL3cLq8srQdjISw85cnQx8PPIG6ng4E5ds5JUlCaojCVF7WQq0ZQRyLkD9COj/qupE1YIUETWVTgeDZ4F/GJiS4Ndx1zU19rRf4zl1IYdGddz5eOQNOBvkV6UyBPu58+6ITuh02iygsliXEIpseBNObAIXL/jXPHB2U52oWrDbO0N8fDxRUVHUqVOHiRMnYivlDeull15Cp9Ndta1btw6AmJiYK+7v16+fvaLWHq7e2n8GgyscXgZbPynTYb/uTubXPSkY9DreG9EJPw8ZF12ZerUM5Km+2tLp//k1jgOn7TOqRghRRsfWw/o3tf2Y96BumNo81Yhdigiz2UxMTAyRkZHExsaSkJDAvHnzrnnMpEmTSE9PL9r27t1LYGAgnTp1AmDnzp3ExcUVPb548WJ7RK19GkRok1EBrJoGyTuv+e2nLmQz5VdtSusn+7Qgskmdyk4o0F7r6JaB5OZbGfvNTky5+aojCVE7ZJ6Dnx8BbHDD/dB+uOpE1Ypdiohly5ZhNBqZNWsWYWFhTJ8+nblz517zGDc3N/z8/Iq2Dz/8kKeffhpfX1+SkpKw2Wy0a9eu6HFPT89rns9sNmMyma7YRKGohyF8CFjz4cfR2oRUxSiwWHnqu91kmgu4sUkdHu8t1XhV0et1vHt3R4L93Ek8n83zP+4rtTVPCFFBl+aDyDwLgeEw8A3ViaoduxQRe/fupWvXrnh4eAAQERFBQkLZO4mlpKTwyy+/MH78eAB27NiBxWKhUaNGeHp6MmLECNLT0695jtdffx1fX9+iLSQkpPw/UE2j02nzvfs1hosntJXoinmD+mDNEXadvIi3qxPv3N0RJ+kHUaX8PV34aOQNOBt0LN9/hs//Oq46khA126Z34egabUj8v+aBi4fqRNWOXd4lTCYToaGXh//pdDoMBkOpb/yXzJ49m3vvvRcvLy8ADh06RGRkJCtWrCA2NpbExERefPHFa55j8uTJGI3Gou3UqVPl/4FqInc/GD4P9E6w/xfY+eUVD8cmXuCDNX8D8L/b2xHiL/+ZVOgY4se0GG1imxnLDxKfLEuHC1EpTm6FNf/T9gfNhHqt1eappuxSRDg5OeHqeuU0yG5ubmRnlz6BjsVi4bPPPmPMmDFF902aNIlly5bRtm1bwsPDeeONN1i06NrLXLu6uuLj43PFJv6fRpHQ7yVtf9kkOKP1fTDl5vPUd3uw2uCOTsEM7SjTu6p0X5fG3Na+Pharjed+3EteQcVnHRVC/EP2BW3ou82iDYXvOFJ1omrLLkWEv78/qampV9yXkZGBi0vpvfrXrl1LQEAA4eHhJX6Pn58faWlpmM3mCmet9bo+Di0GgMUMP44CcyZTf40n+WIOjf09eHmoTO+qmk6n49Wh7ajr6cLBMxlFLURCCDuw2bQh76YkbQj84FmytHcF2KWIiIqKYuvWy7MiJiYmYjab8ff3L/XYH374gdtvv/2K+4YPH37F+Xbs2EH9+vWvau0Q5aDXw7BPwLshnP+b4wufZnHhcM53R3TE281ZdUKBtuLnq8PaAfDxuqPsS7qoNpAQNcXOL7Uh7wZXrR+Eq7fqRNWaXYqI6OhojEYj8+fPB2DGjBn069cPg8GAyWQiP7/k4WrLly+nd+/eV9wXERHB008/zbZt21iyZAlTp05l3Lhx9ogqADzrwh1zAAhN/IGu+gSe6tuCGxrLcE5Hclv7BgyOaFB0WcNcINNiC1EhxmRYOU3b7/eSNgReVIjd+kTMmTOHMWPGEBQUxKJFi5gxYwagFQRLly4t9rijR4+SkpJCVFTUFfdPnjyZNm3a0L9/fyZMmMDYsWOZPHmyPaKKQgWNu7Pc/TYA3nWfy+M9GipOJIrzytB2BHi5cPhsJu+vlssaQpSbzQZLnoa8DGjUGbo8pjpRjaCz2XEwenJyMrGxsXTr1o3AwEB7nbZcTCYTvr6+GI1G6WRZjA9W/82nq/bwp9sL1Oc8dBsPt/xPdSxRjOXxpxnzzS70OvhlXHc6hPipjiRE9bPvR/j5YTC4wGN/yWiMUpT1PdSuEwEEBwczdOhQ5QWEuLajqZl8sOYImXhwvEth4bDlo1JnsxRqDGzXgCEdGmK1wXM/7pXVPoW4XllpsOx5bT/6eSkg7EhmE6plbDYbL/4cR57Fys2tAuk68J7C1T6tsHg8FOSpjiiK8fKQtgR4ufL3uUzek8saQlyfZS9oq3MGtYMeE1SnqVGkiKhlfoxNYtvxC7g7G3j10vLeA2eAR104tx82vqM6oihGHU8XXrtdG63x6fqj7D5ZtonchKj1Di2D+EWg08PQD8EgI9DsSYqIWiQt08xrfxwA4Jn+LS/PSulZF24tXMFuw1tw7oCihOJaBrStz7COcllDiDLLNWqdKUHr99Wwk9o8NZAUEbXIq0sSMObk07ahD6O7N73ywXZ3QstbtUW6Fj8BVnmDckQvDWlLoLcrR1OzeOfPw6rjCOHYVk2DjNPapFI3ywi/yiBFRC2x7tA5Fu9JQa+DGXdEXL24lk6nzdzm6gPJsbBttpqg4pr8PFyYfnt7AD7bcIxdcllDiOId3wA752n7Qz4AZ3elcWoqKSJqgey8Aqb8qq2TMbp7KO0b+Rb/jT4N4ZZXtf3Vr8IFWUXSEfVvE8QdnYKx2mDyT3HkW2RtDSGukJcNv2mrQnPjQ9C0u9o8NZgUEbXAe3/+TVJ6DsF+7jzTv+W1v/mGB6BpTyjIgd+fLHbJcKHetJg21PFw5tDZDOZvOaE6jhCOZe1rkJ4IPsGXFx0UlUKKiBouPtnI5xu1FoVXh7XF09Xp2gfodDDkfXBy15oDd39dBSnF9fLzcOGFgdpY93dWHeacKVdxIiEcRNJO2Pqxtj/4XXCTyQYrkxQRNZjFauPFX+KwWG0MimhAn9ZBZTvQvxn0maLtr5gCGWcrL6Qot7tuDKFDiB+Z5gJeX3ZQdRwh1LPka5cxbFaIuBta3qI6UY0nRUQN9tXmRPYlGfF2c+K/MW2u7+CuY7XhUGYjrH65cgKKCtHrdbw6tC06HfyyO5ltx86rjiSEWjvmavPduPvDgNdVp6kVpIiooZIv5jBz5SEAJt8aTj1vt+s7gd4At83U9vcsgKRYOycU9hDRyI97OjcGYNri/dLJUtReWWmwdrq233eaNv+NqHRSRNRANpuNab/Gk51nIappHUZEhZTvRI1uhI4jtf0/JoJV3qAc0cRbWkknSyFWv6K1nNaPgBvuV52m1pAiogZafeAcqw+ew9mg4/U72qPX68p/sr7/BRdvSNkFe7+1X0hhN3U8XXheOlmK2ixlN+yar+3f9pbWkiqqhBQRNUxegbVoauuHezajeT3vip3QOwhufkHb//MlbRpZ4XDu/kcny+l/yLTlohaxWuGP5wGbtphg466qE9UqUkTUMF9tTuR4WhYBXq483ru5fU7a+TGo2wKyUmH9m/Y5p7Crf3ay/HVPinSyFLVH3A+QtB2cPaG/dAKvalJE1CBpmWbeL1wm+vkBrfAqbU6IsnJy0Vb6BG067NRD9jmvsCvpZClqHXOGtj4GQPRz2qy7okpJEVGDvL3yMBnmAtoF+zA8spF9T96iH7S6DawFsHySzGTpoKSTpahVNrwFmWehTijc9LjqNLWSFBE1REKKie93nARg2uC2FetMWZIBr4HBBY6ugUN/2P/8osKkk6WoNdKOwJbCmSkHzgAnV7V5aikpImoAm83GK0v2Y7XBoIgGdA71r5wn8m8G3QoXtVk+GfLlDcoRSSdLUSusmAzWfGjeH1oOUJ2m1pIiogZYsf8sW49dwNVJz+RbW1fuk/V8FrwbwsUTsOWDyn0uUS7/v5PljsQLqiMJYV+HV8DfK0HvrLVC6Cqh5VWUiRQR1Zy5wFL0afPR6GY0quNRuU/o4nl5ufC/ZoExqXKfT5RLRCO/oknG/rf0ADbpwyJqigKz1i8L4KZxEGCnUWiiXKSIqOa+2JjIyQvZBPm4MqZXWNU8abs7oXE3yM++3DNaOJyn+7fEw8XA3lMXWbLvtOo4QtjH1o/hwjHwCoLoiarT1HpSRFRj5zJy+XDNpSGdrUtf5ttedDq49Q3Q6SH+J0jcVDXPK65LPW83Ho1uBsCbKw5iLrAoTiREBZlOw/q3tP3+r4BrBSfTExVmtyIiPj6eqKgo6tSpw8SJE8vUfBoTE4NOpyva+vXrV/TY+vXrCQ8PJyAggFmzZtkrZo0yc8UhsvIsdAjx4/ZOwVX75A0iIHK0tr/8BVlXw0E9Gt2Met6unLqQw9cy5FNUd6tfgfwsaNRZm51SKGeXIsJsNhMTE0NkZCSxsbEkJCQwb968Uo/buXMncXFxpKenk56ezuLFiwFITU1lyJAh3HPPPWzZsoUFCxawdu1ae0StMeKTjfy4U+uPMG1wm8oZ0lma3v8BVx84Ewfxi6r++UWpPFyceKZ/SwA+WHMEY3a+4kRClNOZeNi7UNsfOAP00pDuCOzyr7Bs2TKMRiOzZs0iLCyM6dOnM3fu3Gsek5SUhM1mo127dvj5+eHn54enpycACxYsoEGDBkydOpUWLVowbdq0Us9nNpsxmUxXbDWVzWbjld8TsNlgaMeGRDapoyaIZ13oMUHbX/Oq1uFJOJx/3RhCyyAvjDn5fLj2b9VxhCifP18CbNBmGDSKVBxGXGKXImLv3r107doVDw9tZEBERAQJCQnXPGbHjh1YLBYaNWqEp6cnI0aMID09veh8ffr0QVc4bKdz587s2rXrmud7/fXX8fX1LdpCQsq5/HU18EfcGbYnXsDNWc8LAyt5SGdpuowtHPJ5EnZ8rjaLKJZBr2PybeEAfLX5BKcuZCtOJMR1Or4BjqwCvRP0lc7cjsQuRYTJZCI0NLTotk6nw2AwFBUFxTl06BCRkZGsWLGC2NhYEhMTefHFF4s9n4+PD8nJydfMMHnyZIxGY9F26tSpCv5UjimvwMqM5dqQzjG9wmjo5642kIsH9J6s7W94C3IuKo0jindzy0C6N69LnsXKWytk7RNRjVitl0eBRY6GulU0Ck2UiV2KCCcnJ1xdr5xy1M3Njezskj/xTJo0iWXLltG2bVvCw8N54403WLRoUbHnK+1cAK6urvj4+Fyx1UQLt5/k1IUcAr1di3reK9fhXghsDTnpsOld1WlEMXQ6HZNvDUeng9/2prAv6aLqSEKUTcIvkLIbXLyg1wuq04j/xy5FhL+/P6mpqVfcl5GRgYuLS5nP4efnR1paGmaz+arzXe+5aqoscwEfFA7pfKpvCzxcqmhIZ2kMTtD3v9r+1k/AeO1WI6FGu2Bfbu+ojeJ5TSagEtVBQR6sLpzcrtt48ApUm0dcxS5FRFRUFFu3bi26nZiYWFQMlGT48OFXHLNjxw7q16+Pq6vrVefbs2cPwcFVPITRAX3+13HSMvNoWteDu6McrM9Hq1uh8U1QkAvrpqtOI0rw7IBWuDrp2Xb8An8eOKc6jhDXtnMepB8Hz3pw0xOq04hi2KWIiI6Oxmg0Mn/+fABmzJhBv379MBgMmEwm8vOvHlYWERHB008/zbZt21iyZAlTp05l3LhxAAwZMoSNGzeydu1aCgoKmDlzJgMG1O4FVs5nmvnsr2MAPHtLK5wNDja8SafTJn8B2PMtnJOFnxxRsJ87D/bQ+hvNWHaAAovM7yEcVK4J1r+h7d/8Arh6qc0jimW3PhFz5sxhzJgxBAUFsWjRImbMmAFoxcLSpUuvOmby5Mm0adOG/v37M2HCBMaOHcvkyVoHvYCAAN5++20GDBhAgwYNiI+PZ8qUKfaIWm19tPYomeYC2gX7MKh9A9VxihfSGcJjwGaFP19WnUaUYOzNYfh7unA0NYvvdtTMDsiiBtj8AWSnQd3mcMMDqtOIEuhsdrwwmpycTGxsLN26dSMwsOLXro4cOcKBAwfo1avXdXeUNJlM+Pr6YjQaq30ny6T0bPrMXE+excrXD3WmZwsHvi6Y9jd81AVsFhi9DJp0U51IFGPepuO89HsCAV4urJvYG6+qmjJdiLLIOAvvd9TW57lrPrQZqjpRrVPW91C7tokHBwczdOhQuxQQAM2bNycmJqbaFwEV9c6qv8mzWOkWVpcezQNUx7m2gBZww/3a/qppIJ33HNK9XZoQGuBJWmYec9YfVR1HiCutn6EVEME3QvgQ1WnENTjYhXXx/x06k8HPu7XprV8Y2LpoAi6HdvMkcPaApB1w4DfVaUQxXJz0vDCwFQCf/XWccxm5ihMJUSjtb9j5lbbf/xWtv5VwWFJEOLi3VhzCZoPb2tenQ4if6jhl413/ck/qP18Gi6zX4IgGtK1PxxA/cvItfLxWWiOEg1j9snY5tOVAaNpddRpRCikiHFhs4gX+PHAWg17Hs7e0Uh3n+nR/EjwC4MJR2PWV6jSiGDqdjucKf6++3XaS5Is5ihOJWu/UdjjwO+j00O8l1WlEGUgR4aBsNhtvLD8IwF03NiIssJoNb3L1vjy73Lo3wJypNo8oVvfmdenazJ88i5UP18jiXEIhmw1WFU5a1/FeqBeuNo8oEykiHNTaQ+fYkZiOq5Oep/q2VB2nfCJHQZ1QyDqnzWQpHM4/WyN+iE0iMS1LcSJRa/29Ck5uBic3uPlF1WlEGUkR4YAsVhtvLtcWSRrVvSn1fd0UJyonJxfo/R9tf8sHsjiXg7qxqT83twrEYrXx7p+HVccRtZHNBmv/p+13fgR8ZYbi6kKKCAf0295kDp7JwMfNiXG9mquOUzHt7tAW58o1wpaPVKcRJbjUGrF4bwqHzmQoTiNqnYNL4PRecPaE7hNUpxHXQYoIB2MusPD2Su3T4Jibw/D1cFacqIL0Buhd2DS59RPIvqA2jyhWu2Bfbm1XH5sN3lklrRGiClmtsLZwvZ2uY8HTwefCEVeQIsLBfLf9FEnpOdTzdmV0t1DVceyjdQzUbw95GbDpPdVpRAme6d8SnQ6W7z9DXJJRdRxRWyT8AucSwNUXuskiW9WNFBEOJDffwkdrjwAwvm8L3F0MihPZiV5/uW/E9jmQKatHOqIWQd5FS4XPXHlIcRpRK1gKYO3r2v5Nj4N7HbV5xHWTIsKBfLvtJOcyzAT7uXP3jQ621HdFtRwIwZHaVLYb31WdRpTgqX4tcNLrWH84lR2JculJVLK4H+H831rx0HWs6jSiHKSIcBA5eRY+XqfNGvhEn+a4ONWwfxqd7nLfiNi5YDqtNo8oVpO6nvyrsIDVZkuVtU9EJbHka2tkAHR7Etxq9xpJ1VUNe6eqvr7ZeoK0TDMh/u4Mj2ykOk7lCOsLIV2hIBf+elt1GlGCJ/tqRez24xfYeCRNdRxRU+35FtITtZltOz+qOo0oJykiHEB2XgGzC1dSHN+7Bc6GGvrPotNBn8K+ETvnwcWTSuOI4jXwdee+Lk0AmCmtEaIyFJhhw1vafo+nwbWazcgritTQd6vqZf6WE5zPyqNJXQ9uv6GGT7ISGq1t1vzLf0SEwxl7cxjuzgb2JhlZlXBWdRxR0+yaD8ZT4FUfoh5SnUZUgBQRimWaC/i0sBXiyT41uBXin3pP0b7uXgAXjqnNIooV6O3K6O5NAZi16jBWq7RGCDvJz7l8OTP6OXB2V5tHVEgteMdybF9tTiQ9O5/QAE+GdmyoOk7VaNwFmvfTlvtd/6bqNKIEj0WH4e3mxMEzGfy+L0V1HFFTxH4BGafBpxHccL/qNKKCpIhQKCM3nzkbtE/iT/VtgVNtaIW45NJIjX3fQ6rMkOiIfD2cebRnMwDeX/03FmmNEBWVlwUb39H2e00EJ1e1eUSF1aJ3Lcfz5aZEjDn5hAV6EtOhlrRCXBIcCa1uA5v18jAv4XBGdW+Kr7szR1OzWBonw3JFBW2fA1mpUKcpdBypOo2wAykiFDHm5PPZX4WtEP1aYtDrFCdS4FJrRPzPcDZBbRZRLG83Zx7qoU2//sHqv6VvhCi/XNPlae97vQCGar4ukACkiFDmi43HycgtoGWQF4PaN1AdR4367aHNMMAG66arTiNKMKp7U3zcnPj7XCZ/xEtrhCinbbMhJx3qtoD2d6lOI+xEiggFLmbn8cXG4wA81beWtkJccvNkQAcHfofT+1SnEcXwcXPmoR6X+0ZIa4S4brlG2PKhtn/zJDA4qc0j7EaKCAU+/+s4GeYCWtf35tZ29VXHUatea2h3h7Yv80Y4rFHdm+Lt5sThs5ksiz+jOo6obrbN0QqJgFbQ9nbVaYQd2a2IiI+PJyoqijp16jBx4sQyzXI3Z84cGjRogLOzM7fccgunT19uKo2JiUGn0xVt/fr1s1dUpS5k5fHlJq0VYkK/luhrcyvEJdET0VojfpO+EQ7K192ZB7trfSOkNUJcF3PG5VaIXs+DvoasTiwAOxURZrOZmJgYIiMjiY2NJSEhgXnz5l3zmI0bNzJ16lS+/vprjh8/Tm5uLs8991zR4zt37iQuLo709HTS09NZvHixPaIq99lfx8jKs9CmgQ8D2gapjuMY6oVDm6HavrRGOKwHu4fi7erEobMZrNgvrRGijLZ/BrkXoW5zaYWogexSRCxbtgyj0cisWbMICwtj+vTpzJ0795rHHDp0iE8++YR+/frRqFEjRo8eTWxsLABJSUnYbDbatWuHn58ffn5+eHp6XvN8ZrMZk8l0xeZoLmTl8dXmRACe7t8SnU5aIYpET9S+7v8Fzh1Um0UUy9fDmdGFIzXek9YIURbmTNj8gbYfPVFaIWoguxQRe/fupWvXrnh4eAAQERFBQsK1m6Ufeugh7rjjjqLbhw4donnz5gDs2LEDi8VCo0aN8PT0ZMSIEaSnp1/zfK+//jq+vr5FW0hISAV/Kvv7/K9jZOdZaBfsQ7/weqrjOJb67aD1YMAGf81UnUaU4KHC1oiDZzJYmSCtEaIUsXMh5wL4N4N2w1WnEZXALkWEyWQiNDS06LZOp8NgMJT6xn/J+fPn+fTTTxk3bhygFRSRkZGsWLGC2NhYEhMTefHFF695jsmTJ2M0Gou2U6dOlf8HqgQXs/OYv+UEAOP7tJBWiOL0ekH7Gv8TpP2tNosolq+HM6MK19R4b/URaY0QJcvLhk3va/s9n5MRGTWUXYoIJycnXF2vnL7Uzc2N7OzsMh0/btw4unXrxqBBgwCYNGkSy5Yto23btoSHh/PGG2+waNGia57D1dUVHx+fKzZH8sWmRDILR2T0D5e+EMVqEHF5FstLC/QIh/NQj1C8XJ04cNrEqgOywqcowc4vITsN/JpAhMwLUVPZpYjw9/cnNTX1ivsyMjJwcXEp9dgvvviCDRs28MUXX5T4PX5+fqSlpWE2myucVQVTbn7RiIzxfVrIiIxrudQ3Yt8PcP6o2iyiWH4eLozq1hSA9/78u0wjsUQtk59zeXbKns/K7JQ1mF2KiKioKLZu3Vp0OzExEbPZjL+//zWP2759OxMmTOC7774jKOjyp/Phw4dfcb4dO3ZQv379q1o7qov5mxPJyC2geT0vmReiNME3QItbtBU+/5qlOo0owUM9QvF0MZBw2sSqBGmNEP/Pzq8g8yz4hkCHe1SnEZXILkVEdHQ0RqOR+fPnAzBjxgz69euHwWDAZDKRn59/1TFnz54lJiaGF154gcjISDIzM8nMzAS0jplPP/0027ZtY8mSJUydOrWov0R1k2ku4PONl1ohmksrRFlc6huxdyGkJyqNIopXx9OFBy61RqyW1gjxD/m5sOldbb/H0+BUeou0qL7s1idizpw5jBkzhqCgIBYtWsSMGdrKjBERESxduvSqYxYuXMi5c+eYMmUK3t7eRRtonSTbtGlD//79mTBhAmPHjmXy5Mn2iFrlvtl6govZ+YQGeDI4opat1FlejW6EsL7SGuHgHu7ZDE8XA/tTTKw+cE51HOEodn8NGafBJxg63ac6jahkOpsdP0IkJycTGxtLt27dCAwMtNdpy8VkMuHr64vRaFTWyTInz0KPN9ZwPiuPt4ZH8K8bHW/YqcM6uQ2+uAX0zvDkLvBrrDqRKMYbyw/yybqjtA/25bcnusuoo9quwAzvdwJTMtw2Ezo/ojqRKKeyvofade2M4OBghg4dqryAcBQLtp3gfFYeIf7uDOsUrDpO9dK4C4T2Ams+bHxHdRpRgkd6NsPDxUBcspG1h6Q1otbbs0ArILzqQ6d/q04jqoAswFVJcvMtfLrhGADjbm6Os0Fe6ut2qW/Erq/BmKQ2iyiWv6cL/+7aBIAP1hyRvhG1WUHe5cuPPSaAs5vSOKJqyDtbJfl+xylSM8w09HXjzhsaqY5TPTXtDk17aq0Rl4aLCYfzUM9QXJ307D55kS1Hz6uOI1TZ9x0YT4FnPYgcpTqNqCJSRFQCc4GF2eu1OQ7G3hyGi5O8zOXW63nt686vwHT62t8rlKjn7cY9nbU+Kx+sOaI4jVDCkg8bCqer7/4UOLurzSOqjLy7VYKfdiZz2phLkI+rdKasqKY9ofFNYDFLa4QDezS6Gc4GHVuOnSc28YLqOKKqxf0IF0+ARwDcOFp1GlGFpIiws3yLlY/XaZ/GHosOw81ZVq2rEJ3uH60R8yAz9ZrfLtRo6OfO8Ejtsp20RtQyVsvlaeq7PQEu115xWdQsUkTY2S+7k0lKzyHAy6WoiVdUULPeEBwJBTmw9SPVaUQJxvZqjkGvY/3hVPYlXVQdR1SVhF/h/BFw84Ooh1WnEVVMigg7KrBY+Wit9ins0ehmuLtIK4Rd6HTaKoAA2z+HnLKtDiuqVuO6HgztoE2o9qG0RtQOVitsKGyF6DoWXL3V5hFVTooIO/p9XwonzmdTx8OZkV2aqI5Ts7QcCEHtIC8Dts1RnUaUYFzv5uh0sDLhLAfPmFTHEZXt8HI4tx9cvKHzo6rTCAWkiLATq9VW9Onr4Z7N8HR1UpyohtHrtdUAAbZ+DOYMtXlEsZrX8+K29g0A+GitrMJao9lssOEtbb/zw+Bx7QUXRc0kRYSdLN9/hqOpWfi4OXH/TdIKUSnaDIW6LSD3IuyYqzqNKMETvZsDsGRfCkdTMxWnEZXm6BpI2QVO7tD1cdVphCJSRNiBzWYr6gsxqltTvN2cFSeqofQG6PmMtr/lQ8jPUZtHFCu8gQ/9woOw2eCTddIaUWNdGpEROQq8ZKmD2kqKCDtYdyiV/SkmPFwMjO4eqjpOzdb+X9piXFmpsGu+6jSiBE/00VojftmdzKkL2YrTCLs7sRlObAKDC3QbrzqNUEiKiAqy2Wx8sOZvAO7r2oQ6ni6KE9VwBmfoPkHb3/SeNl+/cDgdQ/zo2SIAi9XGJ+ulNaLGuTQ7Zcd7wVcWF6zNpIiooC3HzrPr5EVcnPQ83ENaIapEx5Hg3UBbLXDvQtVpRAnG92kBwKLYJE4b5dJTjZG8E46uBp3hckEvai0pIiroUl+Iu28MoZ6PrFpXJZzdoNuT2v7GWWApUJtHFKtzqD+dQ/3Js1iZU7iiragBLs0LEXEX+MsHp9pOiogK2HUynU1HzuOk1/FYr2aq49QukQ+AR11IT4T9P6tOI0owvrBvxMLtJ0nNMCtOIyrs7H44tBTQQY9nVKcRDkCKiAr4qHBeiNs7BdOojofiNLWMiyfcVDisbMNMbeY84XB6NA+gQ4gfuflWPt8orRHV3qURGW2GQmBLtVmEQ5AiopwSUkysPngOvU5b7lsoEPUIuPlC2iE4+LvqNKIYOp2O8YXzRnyz5QQXs6UjbLWVdgTiC1v9op9Tm0U4DCkiyumjwpU6B0U0pFmgl+I0tZSbD3R+TNvfMFObQU84nL7h9Whd35usPAvzNieqjiPKa+M7gE2bgr5+e9VphIOQIqIcjpzL5I+40wA83ltaIZTqOhacPeHMPvh7leo0ohg6nY7HC1sjvtyUSKZZOsJWO+knYN932n5PaYUQl0kRUQ6frDuKzQb92wTRur6P6ji1m4c/RD2k7W94S1ojHNRt7RvQLMATY04+C7aeUB1HXK9N74G1AJrdDCFRqtMIByJFxHU6dSGbX/ckA5fXCBCK3fQEGFwhaTsc36A6jSiGQa9jTGHfoc/+Ok5uvkVxIlFmGWdg9zfavrRCiP9HiojrNHv9USxWGz1baL3OhQPwDoIb7tf2/5qpNoso0e2dggn2cyct08wPsadUxxFltfkDsJghpAs07aE6jXAwdisi4uPjiYqKok6dOkycOBFbGZqV169fT3h4OAEBAcyaNavMj6ly1pTLj7FJgLRCOJzuT4HeSWuJOLVDdRpRDGeDnjGF86l8uv4Y+RYZluvwss5D7BfafvRE0OnU5hEOxy5FhNlsJiYmhsjISGJjY0lISGDevHnXPCY1NZUhQ4Zwzz33sGXLFhYsWMDatWtLfUylzzYcI89iJappHbo0q6s6jvgnvxDoMELbl9YIh/WvG0MI9HYl+WIOv+xOVh1HlGbbJ5CfDQ06QPN+qtOIYthsNqxWdX3B7FJELFu2DKPRyKxZswgLC2P69OnMnTv3mscsWLCABg0aMHXqVFq0aMG0adOKjrnWYyUxm82YTKYrNnu6kJXHgm0nAYp6mgsH0+MZ0Onh8HI4E6c6jSiGm7OBR3pqUyV/sk67NCgcVK4Rts3R9ns+K60QDmpVwllufe8vlsefUfL8diki9u7dS9euXfHw0GZtjIiIICEhodRj+vTpg67wF7Nz587s2rWr1MdK8vrrr+Pr61u0hYSEVPTHusL3O06Rk2+hfbAvvVoG2vXcwk7qhkHb27X9SzPrCYczsksT/DycOZ6WxdLCodLCAe34HMxGCGgFrWNUpxHFsNlsfLT2CIfOZrA36aKSDHYpIkwmE6Ghlxdi0el0GAwG0tPTy3yMj48PycnJpT5WksmTJ2M0Gou2U6fs23HrkZ6hvHN3Bybd2rqouBEOqOez2tf9v0LqYaVRRPE8XZ0Y3U37//3x2iNKm2JFCfKyYcvH2n7PZ0AvffAd0V9/p7E3yYibs56HFK0ibZffDCcnJ1xdXa+4z83Njezs7DIf88/vv9ZjJXF1dcXHx+eKzZ6cDHpu79SI7s0D7HpeYWdBbaHVbYCtcIY94YhGdWuKl6sTB89ksPrgOdVxxP+36yvITgO/JtBuuOo0ogQfFq4ifU/nxgR4uZby3ZXDLkWEv78/qampV9yXkZGBi4tLmY/55/df6zEhSnVpLPu+77WZ9oTD8fVw5r6uTQDtD2FZRnOJKlJg1iaXAujxNBic1OYRxdp+/ALbj1/A2aDj0Wh1q0jbpYiIiopi69atRbcTExMxm834+/uX+Zg9e/YQHBxc6mNClKpRJDTrDTbL5T+GwuE81CMUVyc9e09dZNOR86rjiEv2fAsZp8G7IXS8V3UaUYJLrRDDIxvRwNddWQ67FBHR0dEYjUbmz58PwIwZM+jXrx8GgwGTyUR+fv5VxwwZMoSNGzeydu1aCgoKmDlzJgMGDCj1MSHK5NIqg7u/AZN03nNEgd6u3NO5MQAfrv1bcRoBgKUANr2r7XcbD05qmsjFte1LusiGw6kY9DrG9lI7WtBufSLmzJnDmDFjCAoKYtGiRcyYMQPQRmosXbr0qmMCAgJ4++23GTBgAA0aNCA+Pp4pU6aU+pgQZdKkO4R01Wba2/Kh6jSiBI9GN8PZoGPrsQvsPHFBdRwR/xOkJ4JHXYh8QHUaUYKPClshhnRoSOO6Hkqz6Gx2vBiZnJxMbGws3bp1IzCwbMMgjxw5woEDB+jVq9dVnSGv9VhpTCYTvr6+GI1Gu3eyFNXE36tgwXBw9oAJ8eApE4Q5okk/7eO7Hafo3SqQL0d3Vh2n9rJa4ZObIPUg9Jl6uTVPOJTDZzO45Z0N6HSwckI0LYK8K+V5yvoeatceM8HBwdfdd6F58+Y0b158c8y1HhOiVM37aTPtnd6rzbzXR1qzHNGYXmH8EHuKtYdSiU820i7YV3Wk2ungEq2AcPWFzo+oTiNKcKkVYmDb+pVWQFwPGfwrai6d7vK8EdvmaDPwCYfTNMCTmA4NAfh43RHFaWopm+3ydPGdHwE3KeQcUWJaFr/vTQEcZ+ZkKSJEzdY6Rptxz2zUZuATDunSH8Rl8Wf4+2yG4jS10JE/tRY7Zw/oOk51GlGC2euPYrVB71aBDtNiJ0WEqNn0+sutEVs+grwstXlEsVoGeTOwbX1stsvNtaKK2GywobAV4sYHpe+Qg0q5mMNPuwpXke7jGK0QIEWEqA3a3Ql1mkL2edj5leo0ogSX/jD+tjeFxDQp9qrMiU1waisYXOCmJ1SnESWYs+EY+RYbXZv5E9mk5DmYqpoUEaLmMzhB9wna/ub3tRn5hMNpF+xL71aBWG3aCp+iilxqheh0H/g0UJtFFCs1w8zC7doq0uP7tFCc5kpSRIjaoeO92gx8Gae1CaiEQ3qi8A/kT7uSSL6YozhNLZAUC8fWgs4A3Z9SnUaUYO7G45gLrHQM8aNbmGNdbpIiQtQOTq6X/0hufBcsV8+iKtSLbFKHbmF1KbDa+HS9tEZUuvVval87jNAu+QmHczE7j6+3JALwRO/mDreKtBQRovaIfAA864HxpLY4l3BIl/pGfLfjFOdMuYrT1GCn98LfK0D3j87HwuHM25xIVp6F8AY+9A2vpzrOVaSIELWHs7u2HgDAX29r6wQIh3NTs7pENqlDXoGVz/46pjpOzbXhLe1ruzuhbpjaLKJYmeYCvtyUCMDjvcMcrhUCpIgQtc2ND4K7P1w4Bvt/UZ1GFEOn0zG+sDXim60nuZCVpzhRDXQ2AQ78ru1LK4TD+nrLCYw5+TQL8OTWdo7Z6VWKCFG7uHrBTYWT6fw1U1svQDicXi0DaR/sS06+hS82Hlcdp+b5623ta/gQqBeuNosoVnZeAZ8XtsQ93rs5Br3jtUKAFBGiNur8qLY+QOpBOPCb6jSiGDqdrqhvxFebEzHmSEdYu0k7Avt/1vajJ6rNIkr07baTnM/Ko7G/B0M7NlQdp0RSRIjax80Xujym7W+Yqc3YJxxO//AgWgV5k2Eu4KvNiarj1Bx/vQ02K7QcCA0iVKcRxcjNt/DphkutEGE4GRz3rdpxkwlRmbqOBRcvOBsHh5erTiOKodfreLywNeKLTcfJNEtH2ApLT7w8Min6eaVRRMm+236S1AwzwX7u3N6pkeo41yRFhKidPPwh6mFtf/2b0hrhoAa1b0BogCcXs/NZsPWE6jjV38Z3wGaBsD7QKFJ1GlEMc4GF2eu1VoixN4fh4uTYb9OOnU6IynTTE+DkDim74Oga1WlEMQx6HeNu1oYffvbXMXLzLYoTVWPGJNi9QNuXvhAOa9HOJM6Ycqnv48a/bnTsVgiQIkLUZl6BcONobX/DW9Ia4aCGdQom2M+dtMw8vitcP0CUw6b3wJoPTXpAk26q04hi5FusfLxWm6n1sV7NcHUyKE5UOikiRO3Wbby2euHJLdpqhsLhOBv0jC1sjZi9/hjmAmmNuG4ZZy+vYBv9nNosokS/7Eom+WIOAV6u3NO5seo4ZSJFhKjdfBpCp39r+5fWERAO5183NiLIx5Uzplx+jE1SHaf62fw+WMzQKAqa3aw6jShGgcXKh2uPAPBYdDPcnB2/FQKkiBACekwAvRMcXw+ntqtOI4rh6mRgbC+tNeLjtUfIK5BJwsosKw1iv9D2o58HB5w6WcBve1M4eSEbf08XRnatHq0QIEWEEODXWFvFEC6vJyAczojOjann7UqKMZcfd55SHaf62Pox5GdDgw7Qor/qNKIYFqutqBXi4Z6heLg4KU5UdlJECAHQ4xltNcO/V0LKbtVpRDHcnA2MKWqNOCqtEWWRkw7b5mj70ROlFcJBLY07zbHULHzdnbn/pqaq41wXKSKEAG0Vw/b/0valb4TDurdLYwK9XUm+mMNPu6RvRKm2zoa8DKjXBloNUp1GFMNqtfHhmr8BeLB7KF6u1acVAuxURMTHxxMVFUWdOnWYOHEitjIOlZszZw4NGjTA2dmZW265hdOnTxc9FhMTg06nK9r69etnj6hClKznc1prxKE/IGWP6jSiGP9sjfhI+kZcW066dikDoNfzoJfPjI5oxf4zHD6biberE6O6N1Ud57pV+LfKbDYTExNDZGQksbGxJCQkMG/evFKP27hxI1OnTuXrr7/m+PHj5Obm8txzl4ce7dy5k7i4ONLT00lPT2fx4sUVjSrEtQW2hHbDtf31b6jNIko0sktjArxcSUrP4WdpjSjZ1k/AbILAcAgfqjqNKIbNZuP9NVpfiFHdm+Lr7qw40fWrcBGxbNkyjEYjs2bNIiwsjOnTpzN37txSjzt06BCffPIJ/fr1o1GjRowePZrY2FgAkpKSsNlstGvXDj8/P/z8/PD09Lzm+cxmMyaT6YpNiOvW6/l/tEZI3whHpLVGNAPgw7VHyLdIa8RVctK1IgLg5hekFcJB/XngHAdOm/B0MfBg91DVccqlwr9Ze/fupWvXrnh4eAAQERFBQkJCqcc99NBD3HHHHUW3Dx06RPPm2mI7O3bswGKx0KhRIzw9PRkxYgTp6enXPN/rr7+Or69v0RYSElKBn0rUWgEtLveNWCetEY5qZJcmBHi5kJSewy+7klXHcTxbPtZaIeq1kVYIB2Wz2figsC/Ev29qSh1PF8WJyqfMRcSwYcOKWgX+ub3//vuEhl6uoHQ6HQaDodQ3/X86f/48n376KePGjQO0giIyMpIVK1YQGxtLYmIiL7744jXPMXnyZIxGY9F26pQMARPlFF3YGnF4mbRGOCh3FwOPRWt9I6Q14v/JvgDbZmv7vaQVwlGtPnCOfUlG3J0NPNyzerZCAOhsZewFefbsWXJycq66/7333kOn0zFr1qyi+0JCQti6dSvBwcFlCnH33XeTmZnJ0qVLi318/fr1DB8+nNTU1DKdD8BkMuHr64vRaMTHx6fMxwkBwM+Pwb7voOVAuPd71WlEMbLzCuj5xlrOZ+Xx5vAI7rpRWh8BWPMabHgT6rWFMRuliHBANpuNwR9sZH+KiTG9wph0a2vVka5S1vfQMv92BQUF0bRp06u2+vXrX/XmnpGRgYtL2ZpmvvjiCzZs2MAXX3xR4vf4+fmRlpaG2Wwua1whKiZ6YmFrxHJI3qU6jSiGh4sTj0ZrfSM+WnuEAmmN0FohpC+Ew1uZcJb9KVpfiEu/w9VVhX/DoqKi2Lp1a9HtxMREzGYz/v7+pR67fft2JkyYwHfffUdQUFDR/cOHD7/inDt27KB+/fq4urpWNK4QZRPQHCLu1vZlpIbD+vdNTfD3dOHE+Wx+3ZOiOo56Wz/W5oUIagetY1SnEcWwWm28s+owoI3I8K+mfSEuqXARER0djdFoZP78+QDMmDGDfv36YTBoi4eYTCby8/OvOu7s2bPExMTwwgsvEBkZSWZmJpmZmYDWOfPpp59m27ZtLFmyhKlTpxb1lxCiylzRGrFTdRpRjH+2Rny45u/a3RqRfUGbXAqkL4QDW77/DAfPZODl6sQjPat3KwTYoYhwcnJizpw5jBkzhqCgIBYtWsSMGTOKHo+IiCi2r8PChQs5d+4cU6ZMwdvbu2gDrZNkmzZt6N+/PxMmTGDs2LFMnjy5olGFuD51wy63RshIDYf1765aa0Ti+WwW1+bWiC0f/aMVYrDqNKIYVquNd//UWiEe7BGKn0f1boWA6+hYWZrk5GRiY2Pp1q0bgYGB9jhlhUjHSmEX54/Ch1Fgs8DDa6BRpOpEohgfrzvCm8sPERrgyaqno3Ey1LJP4dkX4N0IrYi4+xsIl0sZjuj3vSmMX7gbbzcnNr7Qx6Enl7J7x8rSBAcHM3ToUIcoIISwm3+2Rqyfce3vFcrcf1NT6ng4czwti9/31cLWiKJWiPayRoaDsvyjFeLhHs0cuoC4HrWsXBeiHKKfA51BW+EzSfpGOCIvVyceLry+/N6ftaxvRPYF2Paptn/zJOkL4aCW7EvhaOFKnaN7NFUdx27kt02I0tQNgw4jtP11r6vNIkr0QLemRX0jatUKn1s+1Foh6reH1tIK4YgKLFbe+1ObnfLR6Gb4uNWMVgiQIkKIsrnUGnFkFSTFqk4jiuHl6sS4m7VZLN9ffQRzgUVxoipwRSvEZNDp1OYRxVq8J4VjaVnU8XDmgW5NVcexKykihCgL/2bQ4R5tf530jXBU93VtQpCPK8kXc1i47aTqOJVvy4eQl6m1QrS6TXUaUYwCi5X311xqhQjDy9VJcSL7kiJCiLKKfvZya8TJbarTiGK4ORsY36cFAB+uPUp2XoHiRJUoK01aIaqBn3cnc+J8NnU9Xbj/piaq49idFBFClJV/M+g0Uttf/QrYZ3S0sLO7bgwhxN+dtEwz87ecUB2n8vw1S2uFaNhJWiEcVL7FyvurtVaIMb3C8KxhrRAgRYQQ16fXC2BwhRMb4ega1WlEMVyc9DzVtyUAs9cfxZR79Yy51Z4xCXZ8ru33nSatEA5q0c4kktJzCPBy5b6uNa8VAqSIEOL6+DaCqIe1fWmNcFi3dwomLNCTi9n5zP3ruOo49rduBljM0LQnNOutOo0oRl6BlQ/XHAFg7M1huLsYFCeqHFJECHG9ej4DLl5weg8c+E11GlEMg17HM/1bATB343HSs/IUJ7KjtL9hz7favrRCOKzvY0+RfDGHet6ujOzSWHWcSiNFhBDXyzMAbnpc21/zP7DU4M571dit7erTpoEPmeYCZq8/qjqO/ax9TZuGveWtENJZdRpRjOy8gqK+EI/3bo6bc81shQApIoQon5ueAPc6kHYY9n2nOo0ohl6v47kBWt+Ir7Ykcs6UqziRHaTsgf2/ADroM0V1GlGCLzclkpphprG/B/d0rrmtECBFhBDl4+YDPZ7R9tfNgAKz2jyiWL1b1aNTYz9y8618tPaI6jgVt+Z/2tf2w6F+O7VZRLHSs/KYvU5r+Xr2lpa4ONXst9ma/dMJUZk6PwLeDcF4CmK/VJ1GFEOn0zHxFq1vxLfbT5KUnq04UQWc2KzNUaJ3gt4vqk4jSvDJ+qNkmAsIb+BDTERD1XEqnRQRQpSXszv0el7b/2smmDPV5hHF6tY8gG5hdcm32IquU1c7Nps2Ggjghvu1OUuEw0m5mMO8zYkAPD+wFXp9ze/0KkWEEBXR6T7tD3pWKmz7RHUaUYLnBmitET/tSuZYajUs9v5eBSe3gJMbRE9UnUaU4N0/D5NXYKVLqD83twxUHadKSBEhREUYnKH3f7T9TR9oCyIJh3ND4zr0bV0Pi9XGu39Ws9YIq/VyK0TnR8Gn5jeRV0dHzmWwaKe2euwLt7ZGV0uG3koRIURFtb0DgtqB2Qib3lOdRpTgmVu0kRq/70vhwGmT4jTXIeEXOBsHrj7Q42nVaUQJ3lpxCKsNbmkTxA2N66iOU2WkiBCiovR66DNV29/2KWScUZtHFKttQ18GRTTAZoPXlx1UHadsLPmw5jVtv9t48PBXm0cUa9fJdFbsP4teBxMLL53VFlJECGEPLQdAo85QkAMb3lKdRpTg+QGtcDbo2HA4lb/+TlUdp3R7voULR8EjALqOVZ1GFMNms/FGYVF65w2NaBHkrThR1ZIiQgh70Omg33+1/Z3z4EINXK+hBmhS17NoIaTpfxzEYnXgtU/yc2H9G9p+z2fBtXa9OVUX6w+nsu34BVyc9Ezo31J1nConRYQQ9tK0B4T1BWsBrJ2uOo0owZN9WuDt5sSB0yZ+2Z2sOk7JdnwGpmTwaQQ3Pqg6jSiG1WrjjeWHALi/axOC/dwVJ6p6UkQIYU99C/tGxP0AybvUZhHFquPpwhO9mwPw9spD5ORZFCcqRvaFy5fFbp4Ezm5q84hiXeqk6+3qxOOFv1O1jRQRQthTw04QMULbXzlFlgp3UA90a0qwnzunjbl8sckBLz2tfxNyjdqon473qk4jipFXYOXtlYcBeKxXM+p4uihOpIZdioj4+HiioqKoU6cOEydOxFbGP5wxMTHodLqirV+/fkWPrV+/nvDwcAICApg1a5Y9YgpRNfpOBSd3OLEJDi5RnUYUw83ZUNSL/pN1R0nLdKC1T9KOaJcyAG75H+hr7gqQ1dn3O05y8kI2AV6uPNgjVHUcZSpcRJjNZmJiYoiMjCQ2NpaEhATmzZtXpmN37txJXFwc6enppKens3jxYgBSU1MZMmQI99xzD1u2bGHBggWsXbu2olGFqBq+jaDbE9r+yqlQkKc2jyjWkA4NaResLRXuUNNhr5qm9atpMQDCeqtOI4qRaS7gvdXagm5P9W2Oh4uT4kTqVLiIWLZsGUajkVmzZhEWFsb06dOZO3duqcclJSVhs9lo164dfn5++Pn54enpCcCCBQto0KABU6dOpUWLFkybNq3Uc5rNZkwm0xWbEMp0nwBeQZB+/PKnSuFQ9HodL94WDsC3205y1BGmwz6+AQ4tBZ0BbnlVdRpRgo/XHiEt00yTuh7cHVWzl/ouTYWLiL1799K1a1c8PDwAiIiIICEhodTjduzYgcVioVGjRnh6ejJixAjS09OLztmnT5+iaUM7d+7Mrl3X7qT2+uuv4+vrW7SFhIRU8CcTogJcvaDPFG1//RsyHbaD6hYWQN/W9SiwXh7rr4zVAisKV+e88UEIrF2TFlUXpy5k8/lGrR/Nf24Lr/FLfZemzD/9sGHDiloM/rm9//77hIZevh6k0+kwGAxFBUFJDh06RGRkJCtWrCA2NpbExERefFH7D2Qyma44p4+PD8nJ1x6KNXnyZIxGY9F26tSpsv5oQlSOjiO1jnG5xsvj/YXDmXRra/Q6WJlwlu3HFRZ7e7+DM3Hg6quNyBAO6fVlB8grsNK9eV36twlSHUe5MhcRn376KXv27Llqu//++3F1db3ie93c3MjOzr7m+SZNmsSyZcto27Yt4eHhvPHGGyxatAgAJyenK85ZlvO5urri4+NzxSaEUnqD1jEOYMfnkOZA191FkRZB3kVN0tP/OFDmjuF2lZd1eZGt6OfAM6DqM4hSbT12nj/izqDXwdTBbWrNIlvXUuYiIigoiKZNm1611a9fn9TUK6ePzcjIwMXl+oa7+Pn5kZaWhtlsxt/f/4pzlud8QjiEsN7QcqDWUW7VNNVpRAme7t8CDxcDe05dZGnc6aoPsOl9yDwDfk2gy2NV//yiVBarjVd+1y7V39O5Ma3rywdVsEOfiKioKLZu3Vp0OzExsagQuJbhw4dfcdyOHTuoX78+rq6uV51zz549BAcHVzSqEGr0f1XrKHfoDzi2XnUaUYx63m48Fh0GwBvLD2IuqMIJqEwpl1d/7f8KOLle+/uFEj/GniLhtAlvNyeeqYXTW5ekwkVEdHQ0RqOR+fPnAzBjxgz69euHwaCNbTaZTOTn5191XEREBE8//TTbtm1jyZIlTJ06lXHjxgEwZMgQNm7cyNq1aykoKGDmzJkMGDCgolGFUCOwJUQ9pO2v/I/WgU44nEeiQ6nn7cqpCzl8veVE1T3x6le1hdtCukKboVX3vKLMMnLzmblSm976qb4tqOslhd4lFS4inJycmDNnDmPGjCEoKIhFixYxY8aMoscjIiJYunTpVcdNnjyZNm3a0L9/fyZMmMDYsWOZPHkyAAEBAbz99tsMGDCABg0aEB8fz5QpUyoaVQh1ek3SOsydiYO9C1WnEcXwcLn8CfODNUe4kFUF83uk7Ia932r7A6ZrC7kJh/Ph2iOkZebRLMCT+29qqjqOQ9HZ7NSLKDk5mdjYWLp160ZgYKA9TsmRI0c4cOAAvXr1uu6OkiaTCV9fX4xGo3SyFI5h8wfaVNhe9WH8Tm0YqHAoFquNwR9s5MBpEyOiQphxZ0TlPZnNBvMGw4mN0P4uuFPmE3FEJ85n0X/WBvIsVuY+cCN9w2vHiIyyvofabYBrcHAwQ4cOtVsBAdC8eXNiYmKkCBA1Q+dHoU5TrQPd5vdVpxHFMOh1vDq0LQDf7TjF7pPXHqpeIQeXagWEkxv0lU63juq1pQfIs1jp2SKAPq3rqY7jcGr3LBlCVCUnV63jHGi98Y0OvAx1LXZjU3/uvKERANMW78dirYQhnwV5sKpwxdebngA/mRzPEW0+ksbKhLMY9DqmyZDOYkkRIURVCh8CjW/SOtKt/I/qNKIEk25tjbebE3HJRhZuP2n/J9jyIVw4Bp71oMcE+59fVJjFauOVJdqQzvu6NKZFkLfiRI5JigghqpJOB7e+CTo97P8FjvypOpEoRqC3K8/dok07/daKQ/btZJl+QlvqG7T1MVzlzckRfbfjJAfPZODr7syEfjKksyRSRAhR1RpEQJcx2v7S5yA/R20eUayRXRoT3sAHY04+by6307oaNhsse15riWraEyLuts95hV0Zc/J5e+VhACb0a0EdT5nssCRSRAihQu8XwbuBtsrnxndUpxHFcDLo7d/J8uBSOLwc9M4w6G0Z0umg3l/9Nxey8mhez4v7ujZRHcehSREhhAqu3jCwcD6Vje9A2hG1eUSx7NrJ0pyptUIAdH9SVul0UPHJRr7cpK3SOXVwG5wN8jZ5LfLqCKFKm6HQvB9Y8mDpM1pTt3A4dutkuX4GmJLBrzH0fM5+AYXdFFisTP45DqsNBkc0oFdL+01ZUFNJESGEKjod3PaWNk/A8fUQ/5PqRKIYdulkeXY/bPlY27/tbXDxsGNCYS/zNicSl2zEx82JaTFtVMepFqSIEEIl/2aXP5Uunww5F5XGEcWrUCdLqxWWPA02C4THQMtbKiekqJCk9OyizpQv3hZOPW83xYmqBykihFCt+5NQtwVknYM1/1OdRhSjQp0s93wDp7aBs+flfjDCodhsNqYt3k9OvoXOTf2560aZ/KuspIgQQjUnV62nPsCOzyF5p9o8oljl6mSZdR5WFU5p3ftF8G1UiQlFeS2NO82ag+dwMeiZfkc79HoZNVNWUkQI4Qia9dIWYcIGS56R5cId1D87WX67rQzLha+aBjnpENTu8twgwqEYs/N56TdtZspxvcNoXk8m/7oeUkQI4SgGvKYtF356D+yYqzqNKEagtysTB2idLGcsO8ipC9klf/OJzdqlDIBBs8DgVAUJxfWasfwAaZlmwgI9GXtzmOo41Y4UEUI4Cq960K+w6XvNq5BxRm0eUaz7ujShc1N/svIsvPDTPqzFXdaw5GstSgA3PACNu1RtSFEm249fYOH2UwBMv709rk4GxYmqHykihHAkkaOh4Q1gNmmjNYTD0et1vDk8AjdnPZuPnmdBcXNHbPkIUg+AR13o91KVZxSlMxdYmPzzPgDu6RxCl2Z1FSeqnqSIEMKR6A0w+J3CBbp+hgO/q04kitE0wJNJA1sD8PofB668rJF6CNa9ru3f8j/w8FeQUJTmk3VHOZqaRYCXK5MGhquOU21JESGEo2nYEbo9qe3//hRknFUaRxTv/pua0iXUn+w8CxMX7dUua1jy4edHoSAXwvpCh3tUxxTFOHIuk4/XHgXgvzFt8PVwVpyo+pIiQghH1PtFrUd/9nn4/UmZEtsB6fU63hreAQ8XA1uPXeDrrYVLfJ/eA25+MPQjWWDLAVmtNl78OY48i5XerQIZHNFAdaRqTYoIIRyRkyvcMQcMLtqqj7vmq04kitG4rgeTbtUua/yx7HdsfxXO9zF4FvjIm5Mj+nrrCbYnXsDd2cArQ9uhk0KvQqSIEMJRBbWFPlO0/RUvwoXjavOIYt3XpQnRTT14XfchOpsFW7vh0O5O1bFEMQ6dyeC1Pw4A8PzAVoT4yxomFSVFhBCO7KYnoHE3yMuEX8fKJFQOSK/X8VG9xTTTn+G0zZ9vA55UHUkUIzffwpMLd5NXYOXmVoGM6tZUdaQaQYoIIRyZ3gC3fwIuXnByC2z+QHUi8f8dWY33vi8BmJj/GK+uTiExLUtxKPH/zVh2kENnMwjwcuGt4R3kMoadSBEhhKOr0/Tywk1rX4Mz8UrjiH/IvgCLHwfAFvUI1tCbyc23Xh6tIRzC2kPnmLc5EYC3hncg0NtVbaAaxC5FRHx8PFFRUdSpU4eJEydiK0NP8pdeegmdTnfVtm7dOgBiYmKuuL9fv372iCpE9dTpPmh1G1jyCocQmlUnEgB/PAcZp6FuC3T9X+GNOyPwdDGwIzGdLwvftIRaqRlmJv64F4BR3ZrSu3U9xYlqlgoXEWazmZiYGCIjI4mNjSUhIYF58+aVetykSZNIT08v2vbu3UtgYCCdOnUCYOfOncTFxRU9vnjx4opGFaL60ukg5n3wCIBz+7UWCaFW3CKI/wl0Brj9U3DxIMTfgxcHaRMXvbXiIIfPZigOWbvZbDaeX7SXtMw8WgV5F42kEfajs5Wl2eAafv31Vx588EGSkpLw8PBg7969PP7442zcuPG6zvPoo48SGhrK5MmTSUpKIioqitOnT5f5eLPZjNl8+dOZyWQiJCQEo9GIj49PscdYrVby8vKuK2dN5uLigl4vV7gc2oEl8P1IQAej/4Am3VQnqp1MKfBxV8g1Qq8XtHk9CtlsNh74cgcbDqfSLNCT357ogZerLL6lwrxNx3np9wRcnPT8/kQPWtWXFTrLymQy4evre833UIAK/2bv3buXrl274uGhDZWJiIggISHhus6RkpLCL7/8wvHj2hC2HTt2YLFYaNSoEenp6cTExPDJJ59Qp06dEs/x+uuv8/LLL5f5OfPy8jh+/DhWq/W6stZker2e0NBQXFxcVEcRJQkfDB1Hwp4F8MsYGLsJXOUPY5Wy2bR+ELlGaNgJoide8bBOp+Oduzow+IONHEvN4oWf9vHhPZ2kI18VO3jGxPRlBwF48dbWUkBUkjIXEcOGDSvqr/BPBoOBESNGFN3W6XQYDAbS09Ov+ab/T7Nnz+bee+/Fy8sLgEOHDhEZGcnMmTPR6/WMHj2aF198kU8++aTEc0yePJlnnnmm6Palloji2Gw2Tp8+jcFgICQkRD59o7XKpKSkcPr0aRo3bix/8BzZwBlw/C+4eAKWPqs1pcu/V9XZ+jEcXQNObnD7HDBcPWVyXS9XPrz3Bu7+dAtL950msnEdHuwRqiBs7ZSbb+GphXvIK9BmpXxAhnNWmjJfzjh79iw5OTlX3f/ee++h0+mYNWtW0X0hISFs3bqV4ODgUs97qcVhzZo1hIcXvwjK+vXrGT58OKmpqWWJCly7KSY/P58jR47QsGFDfH19y3zOms5oNJKSkkLz5s1xdpa55B1a4ib4KgZsFhj4BnQdozpR7XBsPXx9u/a63zYTOj9yzW//ctNxXv49ASe9ju8f60pkE1mMqyq89Nt+5m1OJMDLheUTognwktEY16uslzPK/BE8KCiIpk2bXrXVr1//qjf3jIyMMjeJr127loCAgBILCAA/Pz/S0tKu6PNQERaLNmGPNNtf6dLrcen1EQ6saXdthUjQZrM8vkFtntog/QT8OEorIDrcA1EPl3rIqG5NGRzRgAKrjXELdpGWKaNqKtvag/8YzvmvDlJAVLIKt+NHRUWxdevWotuJiYmYzWb8/ctWcf/www/cfvvtV9w3fPjwK865Y8cO6tevj6urfX8ZpMn+SvJ6VDNdx0LE3dqb2g8PaG9yonLkZcN3IyHnAjToWLhce+n/X3Q6HW/cGUFYoCdnTWae+m43Fpk/otKcupDNs/8cztlKhnNWtgoXEdHR0RiNRubP1xYImjFjBv369cNgMABak0h+fn6Jxy9fvpzevXtfcV9ERARPP/0027ZtY8mSJUydOpVx48ZVNKoQNYtOBzHvQYMO2pvb9yO1NzthXzYb/PYEnI3ThtiOWADO7mU+3NPVidn3ReLhYmDTkfO8s+pwJYatvTJy83noqx1cyMqjXbCPDOesIhUuIpycnJgzZw5jxowhKCiIRYsWMWPGjKLHIyIiWLp0abHHHj16lJSUFKKioq64f/LkybRp04b+/fszYcIExo4dy+TJkysaVYiax9kd7l6gvbmdiZNlwyvD5g+0+SD0TnDXfPBtdN2naBHkzet3tAfgw7VHWH3grL1T1moFFivjF+7m8NlMgnxc+fz+KNycDapj1QoVnifikuTkZGJjY+nWrRuBgYH2OGWFXKtTSG5uLsePHyc0NBQ3NzdFCe1v3bp1jBo1isTExHIdX1Nfl1ohcRPMHwLWAq2vRLfxqhPVDEdWw4LhYLOWqSNlaf67OJ6vtpzAx82JpU/2lFUk7eTl3/fz5aZE3Jz1/PhYN9o3kg7zFWX3jpWlCQ4OZujQoQ5RQNRWPXr0YN++fapjCBWadr+8vsaqadoQRFExF47Boge1AqLTv8vUkbI0/xnUho4hfphyCxi7YCe5+dKJuaIWbDvBl5sSAZh1V0cpIKqYTJCANm9Edl6Bks1ODUGAdmnpWhWjqOGiHoaO92lvej+OhgvHVSeqvsyZWkfK3IsQfCMMetsuc3G4OOn5eOQN1PFwJj7ZxJRf4+36N6C22fh3GtMW7wfguVtaclv7BooT1T4yFyuQk2+hzbQVSp474ZUBeLiU/Z9h5cqVPPXUU5w4cYJOnToxf/58wsLCgOIvZ8ybN4958+YxcuRIpkyZgs1m4+OPP2b48OH2/lGEajqd9maXegCSd2pvgg+vAhdP1cmqF5sNFo+DcwngFQR3fw1O9hsZ1tDPnffv6cQDX2xn0c4kArxcpRNgORxNzWTcgp1YrDZu7xTM472bq45UK0lLRDVz//3389BDD3H48GHatWvHlClTSj1m//79/PTTT2zcuJFRo0ZdMbOnqGGc3eDub8CznrZQ16/jpKPl9do4CxIWg94Z7voafBra/Sl6tghk+u1aR8vZ648ye/1Ruz9HTZaelcdD83Zgyi0gskkdXr+jvQxRV0RaIgB3ZwMJrwxQ9tzX9f3u7pjNZnx9fZk9e3aZ1v7IzMzkq6++IigoiIcffpi33nqrvHFFdeDTUPv0PG8wJPyqTUY1YLpMjV0WuxfA6le1/UEzoXGXSnuqEZ0bczEnnxnLDjJj2UH83J0Z0blxpT1fTZFXYGXsgp0kns8m2M+dT/8dKSMxFJKWCLQJYTxcnJRs11s9L1y4kHXr1tGgQQN69OjBrl27Sj0mPDycoKAgQGbprDUad4Uh72v7Wz/WOltKi8S17f1eW1gLG3QdB5GjKv0px/QK47FezQB48Zc4lsWVfeXi2shmszFtcTxbj13A08XA3FE3yoyUikkRUY1kZWWRlZXFqlWruHDhAj179uTBBx8s9TjpbFlLdbwXBhWuabP5fVjzqhQSJYlbBL+OAWxw44Nay00VmTSwNSOiQrDa4Knv9vDX32VfI6i2+XDNEb7bcQq9Dj64txOt68vfNtWkiKhGrFYrgwYN4ptvviEtLQ29Xi9LmYtri3oIbi28fPXX27BuxrW/vzba/yv8/Kg2quWG++E2+4zEKCudTsdrt7fntvb1ybNYeezrnew+mV5lz18d2Gw2Zq44xNuFs31OGdSGPq2DFKcSIEVEteLt7c0333zDa6+9RlhYGL///vs1l0cXAoAuj17+ZL1+BmyQPjFFDi6Fnx4qXFTrXhj8Huir/s+iQa/jnbs70rNFANl5FkZ9uYPDZzOqPIcjstlsvLb0AB+uPQLA5Ftby7LqDsRuM1Y6mto4Y2VFyetSw218F/78r7bf72XoMUFlGvUOr9CGwVrzof1dcPts0KvtoJdlLuC+udvYffIiQT6uLBrTrVbPamm12pj2WzzfbD0JwMtD2vJAt6ZqQ9USVT5jpRDCwfWYAH0KhwT/+V/Y8pHSOEod+RO+v08rINreAcM+UV5AgLZY15ejomgZ5MVZk5n75m7jjDFXdSwlLFYbz/+0j2+2nkSngzfubC8FhAOSIkKI2iR6IvSapO2veBG2zVGbR4Vj67QWCEsehA+BO+aAwXFGu/t5uPD1Q11oVMedE+ezGfbRJuKTjapjVal8i5WnvtvNop1JGPQ63r27I3dHyfBXRyRFhBC1zc2ToOez2v6yibD9M7V5qtKxdfDtCCjIhVa3wZ1zweCsOtVVgnzcWPhIV5rX8+KMKZd/zd7C8vgzqmNVCXOBhXELdrFk32mcDTo+urcTQzsGq44lSiBFhBC1jU4HfaZCtye12388B79PgAKz0liVymaDzR/C13dAQQ60uAX+NQ+cHHfelBB/D34e142eLQLIybcw5pudfLLuaI1eayMnz8Ij83eyKuEsLk565vz7Rga2k/UwHJkUEULURjod9H8Fek8BdLDzS/hiIFw8pTqZ/Zkz4MdRsPI/2iiM9v/SprO243oYlcXHzZkvR0Vx/01NAHhj+UGe+3Ef5oKat/rnhaw8Rs/bzobDqbg7G/hyVBS9W9dTHUuUQooIIWornQ56TYSRi8DND1J2wZxecHSt6mT2k3oYPuurTf+td4LbZsIdn2lrjFQTTgY9rwxtx8tD2qLXwU+7kvj359u5kJWnOprdbPw7jYHvbmDrsQt4uTox/6HOdG8eoDqWKAMpIoSo7Vr0g8fWQ4MOkH0evrlDm5iquk9klrAYPusNaYfAuwGM+gM6P1Jt1xB5oFtTvhgVhberE9sTLzDso00cOVe955LIK7Dy+h8HuG/uNs5lmAkL9OTHMTcR1dRfdTRRRlJECCGgTlN4cCV0uk+buXH1K9oQyNxqOCrAUgArp8AP90NeJjTpAY9tqNTFtKrKza3q8fO4boT4u3PyQja3f7yZ9Yer5zTZx1IzufOTzXy64RgAI7s0Zsn4noQ3kKmsqxMpIoQQGmc3GPoRxLwPBhc4tBTm3Axn96tOVnaZ5+DrYbD5A+12tyfh/sXgVXOurbcI8ubXcd25sUkdMnILeOCL7Tz7w17OZVSP+SRsNhs/7DjFoPc3EpdsxM/DmU//Hclrt7fH3UX9XB3i+kgRIYS4UuQD8OBy8A2BC8fg836w6T3Iz1GdrGRWK+z7ET6NhsS/wMUL7poPt7zqUHNA2EtdL1cWPNKFkV20uRN+2pVE35nr+fyvY+RbHPcylDE7n8e/3cXzP+0jJ99Ct7C6LH8qmgFt66uOJspJpr12c9OGf+Vnqwnq7OEw12hl2mtxhazz2roSxwo7Wno3hF7Pa5c8HGVuBZtNm7569StwrrDFJKAV3P0NBLZUm62K7D6Zzn9/28++JO3SU4t6Xrw0pK1DdUy02WysO5zKf36OI8WYi5Nex3MDWvFoz2bo9Y7x909cqazTXksR4eYGeVkwvaGaoC+mgItnmb519+7djBs3jri4ODp06MCcOXNo27Yt8fHxjBkzhri4OLp3786cOXNo1KgRACtXruSpp57ixIkTdOrUifnz5xMWFlbs+aWIEFexWmDvQm31T2Ph8E//ZtD7P9p00QoWqyqSuAlWvwyntmm3XX2h+3joOq7M/6dqCqvVxg+xp3hzxaGiURuD2jfgxUHhBPu5K8tVYLGyNO40n64/RsJpEwBN63rw3ohOdAjxU5ZLlE7WzqhhTCYTAwcOZMiQIRw6dIiuXbsycuRIMjMzueWWW+jfvz/79u0jJCSEoUOHFi0Rfv/99/PQQw9x+PBh2rVrx5QpUxT/JKJa0Ru0lofxO2HgDPAI0C5x/PQQzImGwyu11oCqdHovfHMnzLtNKyCc3KD7U/DUHm1a71pWQADo9TpGdG7M2mdv5oGbmqDXwdK40/R9ex0frvmbnLyqnVciJ8/C/C2J9H57HU99t4eE0ybcnQ081COUpU/2lAKiBpGWiGpyOePbb7/l1Vdf5cCBAwCkp6ezcuVKrFYrL730EocOHQLAbDYTGBjIypUr6dq1K6GhoTz88MM8+eSTeHl5YbVaMRiK77wkLRGiVOYM2PqJ1nHRrH2ypPFN2lTaTXpUXv8Dmw3OxMHGWbD/F+0+vRPccD9EPw8+MqvhPyWkmHjpt/1sT7wAgIeLgT6t6zGofQNublWv0jowpmflMX/LCb7akljUIuLv6cIDNzXl/puaUMfTcWcIFVeq8paI8+fPExoaSmJiYpmPWb9+PeHh4QQEBDBr1qwyP2Z3Op326UXFVsb+EElJSTRt2rTodp06dbj77rs5deoUoaGhRfe7urrSsGFDTp3Smp4XLlzIunXraNCgAT169GDXrl12felELePqrfWLeGovdBuvtQKc3ALzh8KbobDwHtj2qTbJU0U/nxiTYfcC+OkReLsVfNqzsIDQabNOPr4dBr8jBUQx2jT04fvHuvLeiI6E+LuTnWdhyb7TjF2wixteXcXj3+5i6b7TZOcVVPi5zplyWX3gLP9dHE+3GWt458/DXMjKI8TfnVeHtmXTC314ql8LKSBqKLt8bEhLSyMmJua6CojU1FSGDBnCs88+yz333MOIESPo1KkTvXv3vuZjtVVISAjHjx8vup2ZmUnXrl2ZMmXKFffn5uaSkpJC48aNycrKIisri1WrVpGXl8e0adN48MEHiYuLU/EjiJrEwx9u+Z/W/2DDWxD/M+RehEN/aBtoHTGb3Vy49QLvUnrg5xohcaO2SNbRtXD+7ysfd3LXJsbqNQnqt7P/z1TD6HQ6hnYMZkiHhuxNMvJH3Gn+iDtNUnoOS/edZum+07g7G+jdOpC+rYMI8nHD1925aPN2c7qq0+NZUy5xSUbiko3EJ2tfz2VcueZK24Y+jOkVxq3t6uNkkCvmNZ1dLmf069ePmJgYJkyYwPHjx6/4xFySd999l9mzZ3PgwAF0Oh2LFy/mxx9/5JtvvrnmYyUxm82YzZd/mU0mEyEhIWW7nFENmEwmWrRowVNPPcX999/Phx9+yOLFi9m+fTutWrXiscceY9SoUUyfPp3Y2Fh27NhBVlYWgYGBfP755/Tp06fomP37ix/3Xx1fF+EgrBY4s0978z+2Dk5uBcv/W9BLX8pnFuv/+1Ss00PDToVFSG8I6Vwt1rtwZDabjbhkI0sLC4pTF0oetqvTaWt3XCoqzppyryoYAPQ6CAv0on0jX27vFEyP5gHoHGTEmSi/Kh2dcezYMZo1a4ZOpytzETF69Gjc3d35+OOPATh9+jR9+/YlISHhmo+V5KWXXuLll1++6v6aUkTA5dEZ8fHxREZGMnv2bFq3bk1cXNwVozM+++yzotEZixYtYurUqSQmJtK8eXM++ugjoqOjiz1/dX1dhAPKz9EKiWPrtO30XqAMf2r8wyCst1Y4NO0B7nUqN2ctZrPZiE82sTTuNLtOpGPMyediTh7GnHxy84ufa0Kvg+b1vGgX7Ev7wq1NQx88XGreXBy1XVmLiDL/yw8bNox169Zddf///vc/nnjiiXIFbNOmTdFtHx8fkpOTS32sJJMnT+aZZ5654vwhISHXncuRderUiS1btlx1f/v27dm0aVOxxwwfPpzhw4dXdjQhruTsrhUDYYWXIHON2lDqazG4gmfdys8mAO1yR/tGvrRv5HvVY+YCC8acfEw5+RgLNx83ZykYxFXK/Nvw6aefkpNzddOXv3/5FkpxcnLC1fVy06SbmxvZ2dmlPlYSV1fXK44RQjgQN19tE9WCq5OBet4G6nlLi6S4tjIXEUFBQXZ9Yn9/f1JTLy8ck5GRgYuLS6mPCSGEEMIxKOs6GxUVxdatW4tu79mzh+Dg4FIfE0IIIYRjqPQiwmQykZ+ff9X9Q4YMYePGjaxdu5aCggJmzpzJgAEDSn3MnmroPFvlJq+HEEKI61HpPWQiIiJ49913GTZs2BX3BwQE8PbbbzNgwAB8fX3x9PRk7ty5pT5mD87Ozuh0OlJTUwkMDJThSGgFRGpqKjqdDmdnB1lcSQghhENTPu31kSNHOHDgAL169bpqGMm1HitNacNTMjMzSUpKkk/f/6DT6WjUqBFeXl6qowghhFBIVvEswwtgsViKvdRSWzk7O5e4roYQQojaw+7zRNREBoNB3jSFEEKIcpKJzYUQQghRLlJECCGEEKJcpIgQQgghRLnU2D4Rl/qLmkwmxUmEEEKI6uXSe2dpYy9qbBGRkZEBUOMW4RJCCCGqSkZGBr6+Ja97U2OHeFqtVlJSUvD29rbbZFKXVgY9derUdc9bUdPIa3GZvBZXktfjMnktLpPX4rLq8FrYbDYyMjJo2LAhen3JPR9qbEuEXq+nUaNGlXJuHx8fh/2Hr2ryWlwmr8WV5PW4TF6Ly+S1uMzRX4trtUBcIh0rhRBCCFEuUkQIIYQQolykiLgOrq6u/Pe//8XV1VV1FOXktbhMXosryetxmbwWl8lrcVlNei1qbMdKIYQQQlQuaYkQQgghRLlIESGEEEKIcpEiQgghhBDlIkWEEMKuzp8/z+bNm0lLS1MdRQhRyaSIKKP4+HiioqKoU6cOEydOLHU+8Zru/PnzhIaGkpiYqDqKUosXL6ZZs2Y4OTnRpUsXDhw4oDqSUt999x3Nmzfn8ccfp3Hjxnz33XeqIyk3cOBA5s2bpzqGUuPHj0en0xVtzZs3Vx1JuUmTJhETE6M6RoVJEVEGZrOZmJgYIiMjiY2NJSEhoVb/UUhLS2Pw4MG1voA4evQoo0ePZsaMGSQnJ9OkSRMefvhh1bGUuXjxIuPHj+evv/5i9+7dfPrpp7zwwguqYym1YMECVqxYoTqGcjt37mTp0qWkp6eTnp7O7t27VUdSKj4+no8//ph3331XdZQKkyKiDJYtW4bRaGTWrFmEhYUxffp05s6dqzqWMiNGjGDEiBGqYyh34MABpk+fzl133UVQUBBjx44lNjZWdSxlMjIyePfdd2nXrh0AHTp0ID09XXEqdS5cuMCzzz5Lq1atVEdRqqCggPj4eKKjo/Hz88PPzw9vb2/VsZSx2Ww89thjTJgwgbCwMNVxKkyKiDLYu3cvXbt2xcPDA4CIiAgSEhIUp1Jnzpw5PPXUU6pjKDd48GDGjBlTdPvQoUO1upk2JCSEkSNHApCfn8/MmTO54447FKdS59lnn+X222+na9euqqMoFRcXh81mo2PHjri7uzNw4EBOnjypOpYyn332GXv27CE0NJQlS5aQn5+vOlKFSBFRBiaTidDQ0KLbOp0Og8FQaz9lNWvWTHUEh5OXl8fMmTMZN26c6ijK7d27l6CgIFauXFkjmmvLY+3ataxevZo33nhDdRTlEhISaNu2LQsXLiQhIQFnZ2cee+wx1bGUyMzMZMqUKbRo0YKkpCRmzZpFdHQ0ubm5qqOVmxQRZeDk5HTV9KRubm5kZ2crSiQczZQpU/Dy8uLRRx9VHUW5iIgIVq9eTdu2bRk9erTqOFUuNzeXxx57jE8++cShV2isKiNHjmTr1q1ERUURGhrKhx9+yMqVKzGZTKqjVbmff/6ZrKws1qxZw9SpU1m5ciUXL15k/vz5qqOVW41dCtye/P39iY+Pv+K+jIwMXFxcFCUSjmTVqlXMnj2brVu34uzsrDqOcjqdjk6dOjFv3jyaNGlCeno6derUUR2ryrz66qtERUUxaNAg1VEckp+fH1arldOnT9e6IispKYkuXbrg7+8PaB9QIyIiOH78uOJk5SctEWUQFRXF1q1bi24nJiZiNpuLfhFE7XXs2DFGjhzJJ598Qps2bVTHUWrNmjVMnDix6LaTk/YZRa+vXX9mvv32WxYvXlzUifDbb79l3LhxtfZS1zPPPMMPP/xQdHvHjh3o9XpCQkIUplIjJCSEnJycK+47ceIETZo0UZSo4qQlogyio6MxGo3Mnz+f+++/nxkzZtCvXz8MBoPqaEKhnJwcBg8ezLBhwxg6dCiZmZkAeHp6otPpFKereq1bt2bYsGG0aNGCW2+9lSlTpnDLLbfg6+urOlqV+uuvvygoKCi6/dxzz9G1a1dGjRqlLpRCHTt25D//+Q/169enoKCA8ePHM2rUqKKO6rXJoEGDGD9+PLNnz2bw4MH8/PPP7Nmzh4EDB6qOVn42USa//PKLzd3d3VavXj1b3bp1bfHx8aojKQfYjh8/rjqGMr/88osNuGqrza/J8uXLbeHh4TZvb2/b8OHDbefOnVMdSbkHHnjA9uWXX6qOodSkSZNsfn5+tpCQENuTTz5py8zMVB1JmS1btti6detmc3d3t4WGhtp++eUX1ZEqRJYCvw7JycnExsbSrVs3AgMDVccRQgghlJIiQgghhBDlUrt6PAkhhBDCbqSIEEIIIUS5SBEhhBBCiHKRIkIIIYQQ5SJFhBBCCCHKRYoIIYQQQpSLFBFCCCGEKBcpIoQQQghRLlJECCGEEKJc/g8+9ljmcRMHkwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "plt.plot(x, np.sin(x))\n",
    "plt.plot(x, np.cos(x))\n",
    "\n",
    "# 图例\n",
    "# 在legend方法上指定\n",
    "plt.legend(['sin', 'cos'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "10b1e3a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1697f64c370>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(6, 4))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "plt.plot(x, np.sin(x))\n",
    "plt.plot(x, np.cos(x))\n",
    "\n",
    "# 图例\n",
    "# 在legend方法上指定\n",
    "plt.legend(['sin', 'cos']\n",
    "           , fontsize=18\n",
    "           # 图例居中\n",
    "           , loc='center'\n",
    "           # 图例排成两列\n",
    "           , ncol=2\n",
    "           # 图例的具体位置 (x, y, width, height)\n",
    "           , bbox_to_anchor= [0, 1, 1, 0.2]\n",
    "          )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3ee1fc2",
   "metadata": {},
   "source": [
    "#### 线条属性\n",
    "> 应该不经常调整，就先不做笔记了。用的时候再翻。  \n",
    "\n",
    "[绘图属性 - 颜色&样式&标记](https://www.bilibili.com/video/BV1nM411m7Cf?p=12&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- color 颜色\n",
    "- linestyle 样式\n",
    "- linewidth 宽度\n",
    "- alpha 透明度\n",
    "- marker 标记\n",
    "- mfc: marker face color 标记的背景颜色"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "53ebddb8",
   "metadata": {},
   "source": [
    "#### 坐标轴刻度\n",
    "[坐标轴刻度](https://www.bilibili.com/video/BV1nM411m7Cf?p=13&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- xticks\n",
    "- yticks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "6b6721db",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 修改刻度\n",
    "plt.xticks(np.arange(0, 11, 1))\n",
    "plt.yticks([-1, 0, 1])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "7ea873dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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slk9JQbxGiRaDhdqQSUD4z3eu0v/VU1MRE6EUOBrvi9Mocd1011F8r2ynruThoMTmRe/uqoPFzqIgRYs5Y2OEDscnlDIpbubXMF79lha0ibAq21xrTwwDUa2tnen2+VmQSRh8X9mBw3SV1FlRYvOSPpsTb++qBeB6WwuWQ1fPxc9npkOjkqGq3YRvjrcKHQ4JYW/w19IsyksIyEtEvSU1KgyXFyUDcC13kKFRYvOSjw80oMtkQ3p0GBbnJwodjk9pVHL8YpZrQft1vgxEiL+1GS345KCrHH77fHE1ag3EfVHql0eb0aK3CBxNYKPE5gUsy3lmUbfOy4RMKv4/1l/NyYBcymB/XTdKGvVCh0NC0Ds/1sHmZDE5PRJTx0QJHY7PFaToMCMjGg6Ww7u7a4UOJ6CJ/wnsB99WtKOu0wytSoarp6YKHY5fxGtVuHRiEgDQhm3id2abA+/yVyndPi9L1KX//m4+LwMA8P6eerojcQiU2LzA/WC/bnoawhQyYYPxo5vmZAAAPi9uomO2iF+tP9wEfZ8dadFqXCTy0n9/iyYkIiVSjW6znbqSh0CJbZRqOkz4tqIdDAPPulOomJwWiUmpOtgcLNbwl6kS4mscx+GdXa63tRtnZQTV5b2jJZUwuGmO6znz1g+1tGF7EJTYRuldfoBdMD4eY2LCBY7GvxiGwU2zMwAA7+2uoxPIiV8cqOvG8WYDlDIJrpkWGqX//q6blg61XIqyFiNt2B4EJbZRMFkd+Hi/603FXZYLNUsLkxAboUCz3oItpdT6T3zPvbZ2eWGyqI7PGi5dmBxXTU0BAPz3+1phgwlQlNhG4dNDjTBaHciMDce87FihwxGEUibF9TPSAQCrf6gVNhgieu1GK77gz2K9ka8WhKKVc1yt/9vKWtHY0ydwNIGHEts5ctX5awEAN84eA0kI1fnP9POZYyCTMNhb24XSJoPQ4RAR+3BfPexODkVpkZiYKq6zWEciOz4Cs7NiwHLAh3Qg+U9QYjtHu6o7UdHaizCFFFeFSIv/YBJ1Klxc4OpMe39vncDRELFyOFm8v8f1EL9xdmg1ag3khpmuSsmH+xtoffsMlNjO0Qd7XWtryyenQKuSCxyN8G7gy5GfHWqC2UZ3tRHv21rWhia9BdHhCs8eylB2cX4iYsIVaDVY6a62M1BiOwddJhu+KmkBAM/6UqibnRWDMTFh6LU6sPEIXWNPvO89vmnk2mlpUMmlAkcjPIVMgqv5rlD3myxxocR2Dj45eBI2p+sU/4KU0K3z9yeRMFgx3ZXkP6CaP/Gyhi4zvq/sAOA6hJu4XM+Pue9OtKOhyyxwNIGDEtsIcRzn2YzsfpATl6unpkImYXCovgdlLdREQrzn4wMnwXHAedmxSIsOEzqcgJERG47zsmPBcfDcBUkosY3YgbpuVLb1Qi2X4gr+GgniEqdRYtGEBADAmr10EgnxDifLefaLui/cJKe4m0g+2n8SdmoiAUCJbcTcTSNLJyVBQ00jP+Fec/zk4En02eiQVjJ6351oR7PegsgwOS7KTxA6nICzaEICYiOUaDda8Q0dkgCAEtuI6Pvs2HS0CQCwgppGBnRedixSo9QwWByejbSEjMaH/TqQlTJqGjmTXCrBtXwTyYf7qVICUGIbkc8PN8JiZ5GTEIEp6ZFChxOQXE0krnIRNZGQ0erotXpuaacy5OCumeb6s/muop0uIQUlthFxlyFXTE8PmfufzsU109IgYYD9dd2o6TAJHQ4JYp8cPAkH6zppJDdRK3Q4ASszNhzTM6LAcsAnh04KHY7gKLEN07EmPUqbDVBIJVg+OUXocAJaglaF+TlxAIB1B2iQkXNzegcyva2dzTVTXX9GH+8/GfLX2VBiG6Z1B1yX+i2cEI+o8NA7UXyk3DeJrzt4Ek42tAcZOTcH6rpR3W5CmEKKpYXUgXw2l05KglouRU2HCQfquoUOR1CU2IbB7mQ9t9VeHeLnQg7XwrwE6NRyNOst2FVFd0aRkVvLv+0vmZiECGXo3Ex/riKUMs9RYx/vD+1KCSW2YdhR3o5Okw2xEUrMHxcndDhBQSWX4nJ+lr32AHVqkZGx2J3YxB/NFuqHjI+E++LVjUdC+8xWSmzD4H4wL5+cDJmU/siGy/12+2VJCwwWu8DRkGCypbQVRqsDKZFqzMiIFjqcoDEzMxrp0WEw2Zz48miL0OEIhp7SZ9FlsmEbf3I2zRxHZlKqDuPiI2B1sJ7ZNyHD4W46umpKSkjfdThSDMN4JpQfh3ClhBLbWXx+uBF2J4eJKTpqNx6h/oNsLXVHkmFqNViw80Q7AGD5FJpMjtRVU1PBMMDu6q6QPRiZEttZrD14auZIRm755BRIGHeHW6/Q4ZAgsP5wI1gOmDomCpmx4UKHE3RSItWYnRUDAPjsUKPA0QiDEtsQyloMKGk0QC5lcHkRJbZzEa9V4Xx+T9snB0NzkJHh4zjOs7XmKnpbO2fuvbafHm4MyT1tlNiG4H4Q/yw3HtG0d+2cXck/oD4L0UFGhu9YkwHlrUYoZBIsmUS3ZJ+rxQWJUMokqG434chJvdDh+B0ltkE4Wc6zd+1KmjmOysK8BEQoZTjZ3RfyG0fJ0NxrsYsmuPZBknOjUclxUX4iAODTECxHUmIbxJ7qTrQarNCqZFgwnvaujYZaIcXigtAdZGR47E4WG4pdt2fQmvboXcmXIzcUN4XcPW2U2AbhfgAvmZRMV2V4gbvmv/FIM2yO0BpkZHi+r+xAp8mGmHAFHYTgBeeNi0VMuAKdJpunyzRUUGIbgMXuxOYS1+bGZXRLtlfMyopBglYJfZ8dO8rbhA6HBKD1/GRy6aQkOgjBC+RSCS7jT//59FCTwNH4F/30DGDr8TbPqQfT6dQDr5BKGM8RW58dpnIkOZ3Z5sAW/vZn6kD2niv5ku6WYy0whtDpP5TYBuB+8F5elEynHnjRMr4c+c3xNjpii5zm69JWmG1OpEeH0SW+XjQxRYesuHBYHSy+LAmdI7YosZ2hx2zzlMro3jXvmpCkRU5CBGwOFptD+Bw78lPrD7tKZVcUJdMlvl7EMIyniWR9CFVKKLGdYdPRZtidHPKStMhJ0AgdjqgwDON5a6PuSOLWZbLhuwpXc8MVVIb0ussLXX+mu6o60Wa0CByNf1BiO4P7CJrlk6lpxBfcD67dNZ1o1vcJHA0JBJuONMHBcihI0SI7PkLocEQnPSYMk9MjwXIImcPIKbH109jTh3213WCYU7Mc4l2uhpwocCE0yMjQ3GXIZfS25jPuxi33n7XYUWLrx705dGZmNBJ1KoGjES/3IPu8ODQGGRlcQ5cZ++tck0l3azrxviWTkiBhgMMNPajvFP+J/5TY+nEnNnpb861LJyZBKmFw5KQeNR0mocMhAnJPbmZnxSBBS5NJX4nXqDBnbCwA4PNi8a9vU2LjVbX34liTATIJg0v445+Ib8REKDE32zXINtBbW0hzf/+voIMQfC6UKiWU2Hif87XneeNiEUUn+ftc/0FGJ/6HphOtRpS1GCGXMrg4nyaTvnZxQSIUUgkqWntR1mIQOhyfosQG1x1QG47wZUiaOfrFxfkJUMgkqGzrxfFmo9DhEAG439bmj4tDZBhNJn1Np5Z7DnQXexMJJTa47oCqbjdBKZNg0QSaOfqDRiXHz8bHAwiN0gg5nWsy6eqKpcmk/7i322wQeaWEEhtOzRwvzItHhFImcDShw/1AE/sgIz91rMmAmg4TVHIJFuYlCB1OyLgwLx7hCilOdvfhYH2P0OH4TMgnNpblsNE9c6R2Y7/6Wa5rItHY04eD9XQBaShxv6VfmJuAcJpM+o1KLsWiCa6JxMYj4q2UhHxiO1jfjcaePkQoZVjAl8aIf6jkUlzED7LPRV7zJ6ewLIeNfGK7rDBJ4GhCj3u/4KYjzXCy4qyUhHxic5chL8pPgEpOF4r6m3uQfVHSItpBRk53sL4bTXoLTSYFMm9cHLQqGdqMVuyr7RI6HJ8I6cTmZDls4k+Zp1MPhDE3OxY6tRztRiv21HQKHQ7xA5pMCkshk3i2V4i1HBnSiW1PTSc6eq3QqeU4j98wTPxLIZNgsWeQ0dmRYudwsjSZDADuP/svj7bA4WQFjsb7QjqxuR+ki/MTIaer6AWzlF9n2VwizkFGTtlb04WOXisiw2gyKaQ5Y2MQHa5Ap8mGXdXiq5SE7NPc4WSxmb9RdiktYAtqdlYMYsIV6DLZ8GOV+AYZOWUDTSYDgkwq8RwdKMZj7UL2J+vHqk50mWyICVdgdlaM0OGENJlUgsUF4q75E8DuZLG5xJXYlk6iMqTQ3N+DzSUtsDnEVSkJ2cTmfoAuLkiEjGaOghPzICMuu6o60W22IyZcgVlZ0UKHE/JmZEYjTqOEweLA95XtQofjVSH5RLc5+pUhaeYYEMQ8yIgLTSYDi1TCYMlE1zLMhmJxNW6F5E/X95XtMFgciNMoMSOTZo6BoP8g2yiyQUZck8mvjrUCoMlkIHFvkP+6tBUWu1PgaLwnJBOb+8F5aUEipBJG4GiI25JJrkG2RWSDjAA/VHZA32enyWSAmZwWhSSdCr1WB76rEE+lJOQSm8XuxJZSfuZI+2gCytT0U4Ns54kOocMhXuS+Foomk4FFImFwKV8p2XRUPJWSkEts31W0o9fqQKJWhanpUUKHQ/rpP8ioO1I8rA4nvj5Gk8lAtZSvlHwjokpJyCU296zk0olJkNDMMeAsEeEgC3XfVXTASJPJgFWUFomUSDVMNid2lLcJHY5XhFRis9id+MZThqRN2YFo8mmDTDw1/1C2yV2GpMlkQGIYxjOhFMuxdiGV2HaUt8NkcyIlUo3JaZFCh0MGwDAMLp3o2qwtppp/qLLYnfiaJpMBz92RvPV4G/pswV8pCanEdqoMmQiGoZljoFrCt4NvPd4qikEWyr6toMlkMJiUqkNqlBp9die2i6AcGTKJrc/mxNbjrpnjEtpHE9AKU3VIiVTDLKKaf6jaxJe2LimgyWQg61+O3CSCcmTIJLYd5W0w8zPHwlSd0OGQITAM4+nU2kjlyKBlsTvxjWcySWXIQLd0Il8pKWuF2eYQOJrR8UtiKykpwfTp0xEVFYUHH3wQHOf/m5LdD8ilk5Jo5hgE3A/Cbcfbgn6Qhaod5e2eyWQRlSEDXkGKFunRYbDYWWw9HtyVEp8nNqvVissuuwxTp07F/v37UVpaitWrV/v6Y09jtjmwjf9G0cwxOExM0SEt2lXz31YW3IMsVLnXtJfQZDIo9C9HfhHklRKfJ7Yvv/wSer0ezz//PMaOHYsnn3wSb775pq8/9jTby9rRZ3ciLVqNiSlUhgwGDMNgCV8aEUPNP9SctqY9kSaTwcL9vdpW1gaTNXgrJT5PbMXFxZg1axbCwsIAAJMmTUJpaemgX2+1WmEwGE77a7Q2HXXto1kyMZlmjkHEvc62vTy4B1kocq9pp0apMYnWtINGfrIWGTFhsDpYbA3iSonPE5vBYEBmZqbnnxmGgVQqRXd394Bf/9RTT0Gn03n+SktLG3UMcRFK6NRyz4OSBIf8ZC3GxLhq/lSODC4bqQwZlE7vjgzeY+18nthkMhmUSuVp/06lUsFsNg/49Y888gj0er3nr4aGhlHH8PgVBdj3fwuRn6wd9a9F/MdVjhRPC3Ko6L+m7e60I8HDvQSwvdx1rm4w8nlii46ORnv76UcjGY1GKBSKAb9eqVRCq9We9pc3KGQSmjkGoSX9ypHBOshCjXtNOz06DAUpNJkMNnlJGmTFhsPmYD3rpMHG54lt+vTp2L17t+efa2trYbVaER1NdzKRs5uQpEVmbLir5h+kgyzUeNa0qQwZlMRwdqTPE9v8+fOh1+vxzjvvAACefvppLFy4EFKp1NcfTUSAypHBxWR1eNZDqRsyeLmvj/q2oh1Gi13gaEbOL2tsr7/+Ou68804kJCRg7dq1ePrpp339sURE3LPHHUE6yELJ1rI2WOwsMmLCaE07iOUmapAV5y5HBl/jll9OHlm2bBlOnDiB119/HcePH0d+fr4/PpaIRLAPslDi7qSjMmRwYxgGS4P40l+/nRWZkpKCK664AnFxcf76SCIS/QcZXWUTuHqtDmzn79BbQt2QQc99WPx3FR3Q9wVXpSRkDkEmwc09yL4tb4eBypEBaevxVtgcLLJiw5GXpBE6HDJKOQkRyI6PgM3Jei5oDhaU2EhQCOZBFircHXR00Lg4nHbLRpCVIymxkaDQvzsyWFuQxcxoseNbdxmS7jsUDXdi23miA3pz8FRKKLGRoHFZoXuQtQfVIAsF3xxvhc3JIjs+AjkJEUKHQ7wkO16D3EQNHCyHr461CB3OsFFiI0HDPcjsTg5flQbPIAsFG4tdb9GXTqQypNgE46W/lNhIUFka5CciiJHebMd3J1xlyMvooHHRcZeWf6jsQJfJJnA0w0OJjQSVYBxkYvfVsRbYnRzGJ2gwLoG6IcUmMzYc+claOIOoHEmJjQSV/oNsc0lwDDKx28B3zLnXQIn4LOUnlMHSHUmJjQSdYBtkYtbZa8WPVZ0ATn1fiPi4O5J3VXWio9cqcDRnR4mNBB33INtd3Yl2Y+APMjHbfKwFTpZDQYoWGbHhQodDfCQ9JgyFqTqwHPBlEDSRUGIjQaf/INtcEviDTMzc3ZD0tiZ+7u/xhiBo3KLERoKSZ5AVB/4gE6s2gwW7a1xlSLqiRvzct2zsq+1Cs75P4GiGRomNBCXPIKsL/EEmVl8cbQbHAUVpkUiLDhM6HOJjyZFqTM+IAscF/t2IlNhIUAqmQSZW/c+GJKHhssLgKEdSYiNByzPIiqk70t+aevqwv64bDEPra6HkkoIkSBiguKEH9Z1mocMZFCU2ErQuncgPspN61HaYhA4npLi3WkwfE41EnUrgaIi/xGmUmDM2FsCp/YuBiBIbCVqxEUrMzXYNMtrT5l+f82/JlxXR21qocW/ED+RKCSU2EtROlSMDu+YvJlXtvShpNEAmYagbMgRdnJ8IuZRBWYsRJ1qNQoczIEpsJKhdnJ8IhVSC8lYjylsCc5CJzeeHXTP188bFIjpcIXA0xN8iwxSYPy4OQOC+tVFiI0FNp5bj/PGBPcjEhOM4z5/z5YVUhgxV/bsjOY4TOJqfosRGgp57kH1e3BSQg0xMjjUZUN1hglImwUX5iUKHQwSycEICVHIJajpMONqoFzqcn6DERoLewrx4qOVS1HeZUXwy8AaZmLibRi7Mi0eEUiZwNEQoEUoZFuYlAAA+OxR4lRJKbCTohSlkWDTBNcjWH24UOBrxYtn+ZcgUgaMhQruiyPUzsOFIE5xsYFVKKLERUVg2+VR3pMPJChyNOLnOCLRAo5RhAb+uSULX+Tlx0KnlaDdasYu/uihQUGIjojBvXByiwxXo6Hc/GPEudxny4oJEqORSgaMhQlPIJLiU3+4RaJUSSmxEFORSiWdP1WeHAmuQiYHNwWITfw8XdUMSt2X8Bv3NJS2w2J0CR3MKJTYiGu5y5FfHWtBnC5xBJgbfVrSjx2xHnObUaS+ETM+IRrJOBaPVge1lbUKH40GJjYjGlPQopEWrYbI58fXxVqHDERX3W/AVhcmQShiBoyGBQiJhPMeqfRZA5UhKbEQ0GIbBMr5Taz2VI73GYLF7JgrLJlM3JDmde8xtL2uHvs8ucDQulNiIqLhbkL+taEeXySZwNOLw5dFm2BwsxsVHID9ZK3Q4JMDkJmqQkxABm5PF5pLAOLOVEhsRlez4CBSkaOFgOWyiE/+94lP+7Xf5lBQwDJUhyekYhvFMKD85GBiVEkpsRHTcpZHPDlNiG63Gnj7sru4CcOptmJAzLZ+cAoYB9tR0oaFL+AtIKbER0bm8MBkSBjhQ100XkI6S+yT/mZnRSIlUCxwNCVTJkWrMGRsDIDC221BiI6ITr1VhHn+txicHTwocTfDiOA6fHnL9+S2nphFyFldOTgUAfHKoUfDDyCmxEVG6aqprkK072Ag2wM6xCxalzQZUtPZCIZPgErpQlJzF4oJEqOVS1HSYcLC+R9BYKLERUbpoQgI0Khkae/qwp6ZL6HCC0roDrpLSwrx46NRygaMhgS5cKcMlBa6rjISulFBiI6KkkkuxdJLrLWMdlSNHzOZgPRtur5maJnA0JFhcOcVVKdlQ3ASrQ7jTfyixEdG6ih9kXxxthsnqEDia4LKtrA1dJhviNUrMG0dHaJHhmT02BolaFQwWB7YdF+6ILUpsRLSmjolCRkwYzDYnNpe0CB1OUFl7gG8amZICmZQeE2R4pBIGy6e4Go3WCbinjX5iiWgxDOMpjVA5cvjajVZsL3fNtq/hm3AIGa4r+Q7aHeVt6Oi1ChIDJTYiau429V3VnWjs6RM4muDw2aFGOFkORWmRyI7XCB0OCTLjEjQoTIuEg+UEayKhxEZELS06DLOyosFxwLoD9NZ2NhzHecqQ10yjtzVybq6b5mo4+nBfgyB72iixEdG7lh9kH+1voD1tZ3G0UY/yViOUMgmWTqILRcm5uawwCWq5FFXtJhys7/b751NiI6J3SUESNCoZTnb34YeqDqHDCWjut7WL8xNp7xo5ZxqVHEv47TYf7mvw++dTYiOip1ZIPWttawQYZMHCYnd6zvm7mppGyChdN91VKdl4pBm9ft5uQ4mNhAT3INtyrIXuaRvEF0ebYbA4kBKpxnnZtHeNjM60MVHIiguH2ebExmL/3rRBiY2EhPxkHSal6mB3CtepFeje31MPALh+RhokErp3jYwOwzCnmkj2+7dSQomNhAz3W9sagTq1AllFqxH767ohlTCeZhtCRuvKKamQSRgcqu9BRavRb59LiY2EjMsLk6GWS1HZ1osDdf7v1ApkH+x1va0tzItHvFYlcDRELOI0SvwsNx6Af5tIKLGRkKFRyT0HI1MTySkWu9Ozx++GmWMEjoaIzYoZaWAY+HVtmxIbCSkrZqQDADYeaYK+zy5wNIGhf9PIPGoaIV42f1wcfvjdz/CP64r89pmU2EhImZIeidxEDSx21rNnK9RR0wjxJZlUguRItV8/kxIbCSkMw+CXs13ltnd31Yb8SSTUNELEiBIbCTnLilKgUclQ22nGzsrQPonkvd11AKhphIgLJTYScsKVMs+t0O/8WCtsMAIyWOyecuxNszOEDYYQL6LERkKSuxy5rbwNDV1mgaMRxkf7GmC2OTE+QYPZY2OEDocQr6HERkJSZmw45ufEgeNOleNCiZPl8M4u1+975dwMMAw1jRDxoMRGQtaNs1xvbR/ub4DF7hQ4Gv/aXtaG+i4zdGo5lhWlCB0OIV5FiY2ErAty45EapUaP2Y7PD/v3kFahrebXFlfMSINaIRU2GEK8jBIbCVlSCYNf8m9tb35fEzLnR55oNeL7yg5IGHh+/4SICSU2EtJWzEhHuEKK8lYjdlS0Cx2OX7zFv61dNCERqVFhwgZDiA9QYiMhTaeW43r+mK3Xv60WOBrf6zLZPNf2rJybIWwwhPgIJTYS8m4+LxMyCYNd1Z04elIvdDg+tfqHGljsLApStJiZGS10OIT4BCU2EvKSI9W4rDAZAPDad1UCR+M7vVYH3uZb/O9ekE0t/kS0KLERAuD2+VkAXCfdi3XD9gd76qHvsyMrNhwX5ycKHQ4hPkOJjRAAeUlazM+JA8u5OiTFxupw4o3vXWuId5yfBSmd4k9EjBIbIbw7+Le2D/c1+PVSRH/49GAjWg1WJGpVWDaZNmQTcaPERghvztgYTEzRoc/uxOvfiadD0slyeI3//dw6LxNKGW3IJuJGiY0QHsMwuH/ROADA2z/WoqPXKnBE3vFlSTNqOkyIDDu1tYEQMaPERkg/F4yPR2FaJPrsTrz2bfB3SDpZDi98cwKA62qacKVM4IgI8T1KbIT0wzAM7l/oemt7Z1cd2gwWgSManU8PNaKyrRc6tRy3zMsUOhxC/IISGyFnOD8nDlPSI2F1sPh3EL+1WR1O/OPrCgDAXQvGQquSCxwRIf5BiY2QMzAMg1WLxgMA/renHi364HxrW7O3AY09fYjXKOmGbBJSKLERMoC52TGYkRENm4PFS9tOCB3OiJltDry0rRIA8JsLx9HVNCSkUGIjZAAMw2DVRTkAgA/21qO8xShwRCPz1g+urs706DBcNy1N6HAI8StKbIQMYlZWDBbnJ4LlgCc2Hgua+9q6TDZPR+eqRTlQyGiYk9BCP/GEDOH3l+ZBIZPgh8pOfF3aKnQ4w/Ls5jIYLA7kJWk9hzsTEkoosREyhPSYMNx6nqtN/q9fHIfV4RQ4oqEdrO/Gmn0NAIAnrsinMyFJSKLERshZ3H1BNuI1StR1mrH6h1qhwxmUk+Xw6PoSAMBVU1IxPYPuWyOhiRIbIWcRoZThd4tzAQAvbasM2E3b7++tR0mjARqVDA9fkit0OIQIhhIbIcOwfHIKitIi0Wt14JFPjgZcI0lHrxXPbS4DADx48XjEaZQCR0SIcCixETIMEgmDZ6+eBIVUgq1lbVh3sFHokE7z542lMFgcyE/W4uczxwgdDiGCosRGyDDlJGhw/yLX3rbHNxxDs75P4Ihc1h9uxPrDTZAwwF+WFVDDCAl5lNgIGYHb5mWiKC0SRosDD609InhJsqHLjD986moYuefCcZicHiVoPIQEAkpshIyATCrB368thFImwc4THXh/b71gsTicLO7/8DCMVgemjonCry/IFiwWQgIJJTZCRmhsXAQevNh1SPLjG0pxuKFHkDhe3l6F/XXd0ChleOG6IsikNJwJASixEXJObp6biQtz42FzsLj9nf1o9fMWgO8q2vEifzjzn5cVIC06zK+fT0ggo8RGyDmQSBi8sKIIOQkRaDNacfs7+2Gx++dUkpJGPe567wCcLIerpqRi2eQUv3wuIcGCEhsh50ijkuONG6cjMkyO4pN6/G6d75tJGrrM+NXqfTDZnJgzNgZPXTnRp59HSDCixEbIKKTHhOGVn0+BTMJg/eEmPPb5MbCsb5Jbj9mGlW/tRbvRitxEDV795VQ6uZ+QAdCoIGSU5oyNxV+XFwAA3t5Vhwc+LobdyXr1M1oNFvzizT2oajchSafCW7+aDq1K7tXPIEQsZEIHQIgYXDc9HUqZFA98XIxPDzXCaHHgXzdMhko++purSxr1uPXt/WgxWBAdrsDqX81Akk7thagJESd6YyPES5ZNTsFrv5gKpUyCb4634ob/7EZVe++ofs0tx1pwzau70GKwIDs+Ap/dPRfjEzVeipgQcfJaYqutrQXD0FE+JLQtnJCAt2+eAY1ShoP1Pbjknzvx8vbKEZcmm3r6sOqjw7j93QPoszsxb1ws1t01B+kx1NZPyNkwnJfauFiWhcFgQGRkpDd+OQ+DwQCdTge9Xg+tVuvVX5sQXznZbcbvPy3BdxXtAIDcRA1un5+Fi/ITEaEcfAWgx2zD699V483va2B1uJLhTbPH4I9LJ9AGbBLSRpILvJbYfIUSGwlWHMfhs8ONeGJDKbrNdgCAUibBhXnxmJ0Vg3ClDGEKGRjGdfP1rqpOlDTq4W6qnJkZjf9bkodJqZHC/SYICRA+SWwLFixAZmYmvvnmG1x44YVQKBT46KOP8N5772Hp0qWora1FZmbmaft4duzYgZUrV+LFF1/Eb37zGxgMBjz++OO45557Bv0cq9UKq9V62m8mLS2NEhsJWp29Vryzqw4biptQ3WE669fnJmrwwEXjsTAvnsr7hPBGkthG1BVZVVWFl156CcuXL8eLL74Is9mM9evXY+nSpYP+P52dnXj66aexadMmbNu2DQ8++CBuu+02qNUDd3U99dRTePzxx0cSFiEBLSZCifsX5eC+heNwrMmAjUeaUdPRC7PNCbPNCZuDRW6iBnOyYzA7KxaJOpXQIRMS1EaU2G644QYUFRUBAG677TZ0dnaitrZ2yP+nt7cX//73v1FQUICcnBzce++9aGtrw5gxA1+G+Mgjj2DVqlWef3a/sRES7BiGQUGKDgUpOqFDIUTURpTYVCrVgH8/lKioKBQWFgIAFAoFAAx57JBSqYRSSdfaE0IIOTc+b7OidTFCCCH+RP3DhBBCRIUSGyGEEFGhfWyEEEIC3khyAb2xEUIIERVKbIQQQkQl4K+tcVdKDQaDwJEQQggRijsHDGf1LOATm9FoBADapE0IIQRGoxE63dCHHAR88wjLsmhqaoJGoznnc/Pcp5c0NDQERANKIMVDsVAswRwPxRL4sXgrHo7jYDQakZycDIlk6FW0gH9jk0gkSE1N9cqvpdVqA+Kb7BZI8VAsA6NYBhdI8VAsAwukWIDRx3O2NzU3ah4hhBAiKpTYCCGEiEpIJDalUok//elPAXO4ciDFQ7FQLCMVSPFQLIEfC+D/eAK+eYQQQggZiZB4YyOEEBI6KLERQggRFUpsJGCwVBUnhHhBwO9jI77HchxYjoPsLJsefcHgcOCvdXVY09aGeqsVADBercaK+Hg8MmYMlALERAgJbqJuHrGzLP7e0IB3WltR1deHGLkc18bF4fHMTOhkwuX0uyoq8GpTE2pmzkSGWi1IDHsMBjxVV4edej26HA4AwFiVCrckJWFVWppfEorR4cCcQ4dQYjIBAMYolTCzLNrtdgDA5IgI/DB5MtRSqc9jGcohoxGzDx5EokKB2tmz/fKZBocDUd9/D3aIr7klMRFv5Ob6JZ7+OI7DRUeO4JvubszT6bCjqAiSczwVaCQWHDqEb/X6YX3tGKXSb9+rbd3deL6hAcfMZjRbrYiVy5GtVuPGxETclJgIqR/+bNz2GAx4takJ3/b0oNFqRZRMhvMjI3FvairmDHNz87ka7nPNyE9mP25vx0mrFclKJW5KSPDqRFa0b2w2lsWSo0fxTXc3AIAB0Gyz4Z+NjdjR04OdkydDI0Bye6a+Hq82Nfn9c/t7u6UFt5SVwQlALZFgllaLdpsNVRYLfl9Tgy+7uvBNYSEUPk5u91ZWosRkQlFEBD7Iy0NueDg4jsNnHR24sawMh3p78WR9Pf6cmenTOIbS63DgutJSWP08/9trMICFa61APsiDUS7Q2+y/GhvxTXc3wiUSvJWb65ekBgAKiQTKs3yWE4CD4/wW06uNjbj7xAm4fzokABptNjTabPhWr8eatjasLyjwy+Ts4aoqPNPQ4PlnKYBWux0ftbfjo/Z2/F96Ov6SleWTzx7uc63Hbsf5hw/jCD+ZZQDUWix4vK4OPxoM+HLSJK9MBESb2O45cQLfdHdDCuCZsWNxV3Iy+lgW91VW4r3WVjxSXY1/5eT4NabnGxrwSHW1Xz/zTMW9vbi9vBxOAA+kpuKxjAxE8AnePUh36vX4W0MDfj9mjM/iONrbi7daWqCTSvHFxIlI4ve3MAyD5XFx+GNfH35XXY33WlsFTWx3nziBE319fv/cPfzh33clJ/v953Qo5WYzfsf/DD87dizG+rHisKWw8Kxfs+TIEXzR1YUbExJ8Hk+F2Yx7KishZxi8PG4croyLQ6RMhkarFe+3teEPNTX4ursbf29owB8yMnway78bGz1J7fakJPxhzBikKpUoN5vxUHU1NnR24q/19YhTKHCvl44odBvJc+3648dxxGRCmESCV3JycH18PNpsNtxcXo6vu7vxj4YG/DY9fdQxiXIB45jJhP80NwMA/pqVhQfS0hAmlSJGLsd/x4/HeLUarzQ1oZSfNfia2enE9aWleKCqCqkCb5h8qKoKNo7DQ2lp+Ft2tiepAcCdKSm4MjYWAPBea6tP4/i0owMyhsFvUlM9Sa2/oogIAEATv+4mhNXNzXi3tRX+KySdsoe/omOqRiPApw/MwbK48fhx9LEsLoyMxF3JyUKHdJotXV34oqsLaUolHvLCw/FsPmhrg53jcEdyMm5NTka0XA4JwyBNpcLv0tPxm5QUAMCGzk6fxmFlWTxaWwsAuCE+Hq+NH480lQoMwyA3PByfFhRgPl+GfLy2Fk4vVR9G+lz7srMTm7u6AAD/zc3FTYmJUEgkSFWp8HF+PqJkMjxaW4sufiliNESZ2F5ragILIEEux6ozZidyiQT3pKaCA/BJe7tf4nmsthZr2towU6PB3ilT/PKZAzE5nQiTSjFdo8Gjg8wgp/MHlDb6OKE8mpEB87x5+MMgb4Un+c9PVCh8Gsdgys1m/PrECTAAHhDgyqTdfGKbHUAH2D5ZX4+9RiO0Uin+m5t7zrdt+IKT47CqshIA8NzYsQjzQ+nPPUbGDfLWms4/7PvYoVZKR297dzc6+GTwxwHGk5RhPEm22+FAmdnslc8d6XPt33ypcnJEBK6Ljz/tv+lkMtyalIQ+lsUXXpgIiDKxfdfTAwBYFhs74DrEpdHRAIAv+dmDr0kA/DkjA99PnoxEAd/YwqVSfFpQgL1TpyJ8kIHvfkPS+OHBIJdIBlwstrMsXmlsBOD6HvqblWVx3bFjMLEsfpuWhiX8z4u/VJrNaLfbkahQIDc83K+fPZgDRiP+UlcHAHghOxvpKpXAEZ3u9aYmHDObcZ5O95OHpq+k8GP5i0GeIxv5B7Sv37rL+VJ5glw+6M9LWr/vl55vFhutkT7XdvKNP9fGxQ343735XBblGlsl/40erAsoQ62GVir12szlbP6cmSnYQv9IOPnGDQBYGBUlSAxHe3vxQFUVDvT2IlOlGvTN0pdWVVai2GTCHK0WT2Zm4vthduJ5yy7+bS1GJsP1paX4Ua9Hq82GKLkcs7Va3JqUhEtjYvwWj40vQdo5DpkqFbodDqzi15ZmaLW4LCbG541GQ7GyLP7MJ92/+HE99ufx8Xiuvh6bu7pwV0UFVqWmIlWpRJ3FgmcaGrC1pwdqieQnVSNvk/FvzkM1qLTZbJ6/T/ZSFWQkz7V2mw09fEId7Lk8iV9+8MZzWXSJzeJ0wsS/+ucMsbAdJ5ejymKBweGA1sfdkcGQ1ADgreZm1FutYADc5+PBeKbVzc14tLYWDfwb4wyNBmvz8xEjl/s1jk/b2/FKUxNiZDJ8OGGCIHv7fuQT2zGzGWVmMyZFRCAnLAzHTSZ82tGBTzs6cHtSEl4bP94v8TxTX49S/mHTYrNhQ2cnwiQSFPf24tmGBuSo1fhfXh6mCVQ2Xd3SgmabDbO0WpwfGem3z80OC8OXkybhprIyvNrU9JOuwLywMLw5fjwm8g9sX8ng38bqLRa022yIGyBx7eCrWOPVaq9tMRrJc62z37rZYM/laLkccoZBjcUy6tiC44k7Av3bsiOHSFhR/AOzud9MJpQ1W62ebrebExNRJEDTgqPf9+6k1YoDfGegv9RbLLilvBwMgHfy8pAqULnN/YZ4aXQ0qmbNwsFp0/B1YSHqZ8/GK+PGQQLg9eZmrPFxgw/gKk0/XV8PADhPp0PdrFnYXlSETZMmoX72bLyWk4MaiwUXFBejpLfX5/GcyclxeI6P7xE/NIycyeB0wjLIGppaIvGsFfvSBZGRiJPLwcLVHHKmkt5evMyX9u/i19r8bbjPZZ1Mhm6HA9ZRrkuKLrH1fxkf6tVcwb++9zmdPo4o8LEch18cP44uhwOZKhX+np3t9xhWJiWhac4cHJo6FctjY9Fks+GqY8fwOV8a9TUHy+L60lJ0Oxx4KC3Nr6W+M72ek4O1+fn4tKAAY/olVwnD4K6UFE/H39/67VnylVcaG2FmWcgYBmsmTDjtbUDCMLg9ORn3pKSg1+nEnwZ4qPraR21tqLJYMCEsDJf5+Xu2o7sbVxw96pkcj1Or8bPISM8b1MHeXlxbWoo/1dT4NI4wqRRvjh8PGcPg5aYm3HfiBGr6+tBgseCt5mYsLC6GleOQqFDg1qQkn8YyGPeTmAGg8sNzWXSJrX8yG2xjKwDPBk6zjzuWgsEfa2qwracHKokEH02YIOipLEUaDdbl52NZbCxYAHdUVHitPXkoj9bW4keDAXO1Wr+u0wxktk6Hq+LiBl23cj+cDvT2osPHFYftfAlrSXS0p1niTO4Gn02dnX4/7/Nf/JvIncnJfu/SvL+qCk4AqUoldhYVoWLmTGwtKkL1zJlYl5+PGH4cPV1f7/Mu48tiY7GzqAjn6XT4Z2MjsvbsQfru3bi5vBytfBnwiYyMQZvGfM3dpSo7y/fIW89l0SU2KcNAx/8hDrUHqpv/Zov2PLFh+qitDU/ypZzXcnIEWyfpj2EYPMi32LfYbJ4jt3xla3c3nqmvR6xcjjUCrauNRP89Q9VeWI8Yivt4sxlD/Fwk8G9xVo47rUnB18rNZvxoMEDGMFjhp05ItzqLBYf50uu7ubk4r9/aHsMwuDIuDh9MmAAAsHGc5wQkX5ql02Hn5MlonzMH+6ZMwb4pUzCG/1kpiojALQK9rQFANJ/k7Rw35GTMW89l0TWPAEC6SoWjJhNqLJZBH9TuWUyEwOcQCmm3Xo+VZWUAXOsTNyYm+u2zHSyLE319yAkLG/AInf57g4xeak8ezLstLWABdNjtSNu9e9Cvq7NawezYAQB4a/x4rPThg8LKsoOem9fe78Hg63cU93rIUOsihn5lI3++EbzFH8JwSXT0gA0TvuR+A9NKpYM2rCyKjoZWKoXB6USzHw8aiFUoEKtQ4J2WFtfPLIB/jRvnt2PGBhIpl0MjlcLodKLGYkHsAN+vXofD0/g32udyYE9Nz9E0vvFhsOaDSrPZs6ExLUCuTve3UpMJl5WUoI9lcV1cHP7q5/Jb0f79mLBvHz4dZJN8fb8HQbKPv0dy/gzCwf7qX9J2/ztfHWz7SXs70nbtwj0nTgz6Ne7yoARAto+PtMrn90UN1YLtPiUlRaHw2/mrTo7Du3zzzC/9cHzWmcL7ldaGKoG63zyi/Nzda2NZPMqv7d2YkIC5Pj4AeTjO9lx2H0qgkUpHvRwiysS2iN+D9VF7+4A1f3dZYIxSiWg//8AFgmMmEy4sLkaH3Y4FkZF4Oy/P7+sT7uaMh6ur0TPAETovnTwJAMhUqZDl44f3f8aPh+X88wf9a8ukSQBcPy/uf/dLH73dJisUOGm14sO2ttPezNxsLOvpUlwQGenzB6Z70+zbLS0DlvaNDgf+wX+vLvPjZvof9Ho02WyQMQwu8fMGesBVUZAxDLocjkHXzw4YjTDyb7Pn+TmxvNTYiDr+dP/nxo7162cPxv1cXtPWNuB/dz+Xp3hhe4QoE9sVsbGIlMlQY7F4jnFxszideJ4fiEsE7HwTSqvNhgsPH0aLzYaJ4eH4rKBAkDvP7ktNhVYqRZXFgvMPH8a27m70OZ3QOxx4orYWb/Oz8ScE2KAtpFk6HeZqtdA7nVhRWnraekSrzYZLjxxBqdkMOcP4pcnlqrg4TI6IgMHpxEXFxdja3Q07y8LBstjW3Y35hw+jsq8PKokED/nx6DH3sUvTNZrTzjv1lzCpFFfzJ2g8yW8O78/sdOI3/Fv34uhoz5uvP7RYrXiC71B9OivL72XawfwiIQFSAN/q9dh0xrFZ7Tab53xfbzyXRbnGFiaV4v8lJ+Ov9fW4r7ISDo7DzYmJaLLZ8P8qKnCir891AK9AezqE9LeGBs/64nGzGQk//DDo124pLMR8H214TVYq8VF+Pq4qKcER/g2SAU67/uPxjAz8wo/rfoHi7bw8XHD4MLb19CBl1y5M4K/zOW42w8ZxiJTJsDo3F7P98BYgYRiszc/HFSUlKDGZsJD/PgGnvldSAP/Ly0OmH0/6dx9jdYEfN2Sf6aXsbJSaTHilqQn7jEYsiopChFSKWosF69rb0clvn3nTTxvp3R6srobB6cQcrRa3CdgwcqY0lQor4uPxv7Y2rCgtxas5ObgyNhalZjNuKy9Hl8MBnVSKm70QsygTGwD8MSMDuw0GbO3pwX2VlbiPPyDV7a+ZmQFzDp8/He63idbBcRiqLcPXrdsXR0fjyPTpeJo/lqjZZvNcjPhAaipmBcC6gBDGqtUonjYNT9XX4+P2dpSYTNBIpZiq0eDS6GjclZLi1xNZstRq7JkyBf9rbcUHbW2oMJvRZrdDK5Vitk6Hh9PT/bqG02i14ijfKStkYotVKLBnyhS80dyMdR0deL25GT0OB9QSCbJUKtyVkoL7U1P9utzxfU8P3mtthYxh8FpOTkAdVA0AL40bh6MmE46YTPjF8eOn/TcGwKs5OV752Rb9DdpP1tfjHw0N0PO17iSFAk9lZeGmEHwTIIQQofU6HPi/mhr8p7nZc/PBOLUaL2Rne+1gBFEnNjeL04kSkwkKiQQF4eGCtr0SQghxNR6Vms3QSqXI83L1LCQSGyGEkNAhyq5IQgghoYsSGyGEEFGhxEYIIURUKLERQggRFUpshBBCRIUSGyGEEFGhxEYIIURUKLERQggRFUpshBBCRIUSGyGEEFH5/7589JUrb3BBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 修改刻度\n",
    "plt.xticks(ticks=np.arange(0, 11, 1)\n",
    "          , fontsize=20\n",
    "          , color='c')\n",
    "plt.yticks(ticks=[-1, 0, 1]\n",
    "          , labels=['min', '0', 'max']\n",
    "          , ha='right'# 水平对齐方式，默认就是right\n",
    "          )\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30dcf71b",
   "metadata": {},
   "source": [
    "#### 坐标轴范围和配置\n",
    "[坐标轴范围和配置](https://www.bilibili.com/video/BV1nM411m7Cf?p=14&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- xlim\n",
    "- ylim\n",
    "- axis e.g. plt.axis('equal')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "cd30d07e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0, 2.0)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法1\n",
    "plt.xlim(-2, 8)\n",
    "plt.ylim(-2, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "257ada1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0, 8.0, -2.0, 2.0)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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x48ejR48eAICwsDDk5eW1OObw4cOwWq3w9/eHu7s74uPjUVlZ2eIYk8kEo9HY7EHSEQQBy3blIrfMCC93F6z7Pa/4bIuers7YMHsMPNQqHCq6YpsujohuDFEK0Gg0IigoyLatUCjg5OTUYqEVFBQgPDwcqampyMrKQnFxMZYsWdLi6yQmJkKr1doeAQEBYsSndtqaVYJtR0qhVABvzBoFP53jrObeVQzs7YGk+8IAAG9/ewapP1yUOBGRfIhSgCqVCmp188vdXV1dUVtbe90xzz77LPbt24ehQ4diyJAhePnll7F9+/YWXychIQEGg8H2KCnhFXRSyb9gxPLdTXN8PnXnYEwI4UUv7TVtmC8evbXpH5BPb8vB2YoaiRMRyYMoBejl5QW9vvlEv1VVVXBxcbH7Z+h0OpSXl8Nkuv7FAGq1GhqNptmDbrxqkwWPbzkKk6URvxncG/NkNMF1Z/nbb2/GmAGeqKq34ImPjsFksUodiajbE6UAIyIikJGRYdsuLi6GyWSCl5fXdcfExcU1G3P48GH07dv3miNJ6lqabnY/gTPlNfDVuiJ55kgoZTzNmVicnZR444FR8OzhjBNlBiR+cVLqSETdnigFOHHiRBgMBmzevBkAsGrVKkRFRcHJyQlGoxFm87XzHoaFhWHhwoXIzMxESkoKli1bhvnz54sRhzrRtiOl2J19Hk5KBd58YBS83O0/yqeW+WrdsHpm003ym74v5veBRJ1MtO8AN2zYgLlz58LHxwfbt2/HqlWrADQV3d69e68Zk5CQgNDQUEyZMgULFizAvHnzkJCQIEYc6iSFl6vw3E/f+y2achPCB1z/CJ/aZ/LNPnhsYjAAYPG2HJznyhFEnUYh2DNli53KysqQlZWFyMhI9O7dW6wfe11GoxFarRYGg4HfB3ayerMVsW8dwMmLVbg1xBubHxnLU5+dxGxtRNy675FTasDYIC98/Kfxsl5Ng6g17e0CUecC9fPzw4wZM25I+dGN9fK/T+LkxSr0cndB8swRLL9O5OykxOuzRsHdxQmHiq7grbRCqSMRdUucDJta9U3BZbx/oBgAkHTfCPTRuEobSAYG9HLHi7HDAAD//OpHHDl7ReJERN0PC5BaVF5twtPbjgMAHo4MxO0395E4kXz8brQ/Ykf2g7VRwIJPs7mILpHIWIB0XYIg4G/bj6O82oTBPj3x7G9vljqS7LwQOwx+OjeUXKnD85+3PL0gEbUNC5Cu66ND5/DVyctwcVJiTfxIzvMpAY2rM9bEj4RSAXx2tBR7j1+QOhJRt8ECpF91Rl+Nl1KaVix/ZtpgDPHlVbZSiQj0wvzfhAAAluw8gYuGeokTEXUPLEC6hsXaiIVbc1BntiJyYC88MiGo9UHUqZ6MGoThfloY6sx45rPjdi04TUQtYwHSNdZ+cxo5JVfR01WFpPt4y0NX4OykxGv3j4BapcS3p/T4MOOs1JGIHB4LkJo5UWrA61/9CAB4KXYY+nGJoy4jpM9/L0T6xxf5OK2vljgRkWNjAZJNvdmKRVuzYWkUcPdwX8SM6Cd1JPqFh24JxK0h3qg3N+KprTlcRZ6oA1iAZLP6PwX48XI1evdU48XYYVAoeOqzq1EqFXglLgw9XVXILrmKt789I3UkIofFAiQAwKGiK3h3fxEAYNXvhnOVhy6sn84Nz0cPBQCs+b9TyDtvlDgRkWNiARJqTBY8vS0HggDMHOOPO4b4SB2JWvG70X64M9QHZquARVuz0WDhqVCitmIBElZ+kY9zV2rhp3PDsumhUschOygUCqz86Uj95MUq24VLRGQ/FqDMfXtKjy2Z5wAAr8aFoaers8SJyF7eHmq89NOE2evSm25dISL7sQBlzFhvxt8+a5roevYtAxAZ4i1xImqru366WtfaKOCpbTmoN1uljkTkMFiAMvZSSh4uGOoxoFcPTnTtwF6YMRS9e6pReLkar315Suo4RA6DBShTaScvY2tWKRQK4NW4EejhopI6ErWTrocLEu8ZDgDY8N0Zrh1IZCfRCjA3NxcRERHw9PTE4sWL7ZqrMD09HUOGDIG3tzeSk5PFikKtMNSa8eyOplOfj0wIwtggL4kTUUdFhfrg3tH+EATg6W3HUdfAU6FErRGlAE0mE6KjoxEeHo6srCzk5eVh06ZNLY7R6/WIiYnBrFmzcPDgQWzZsgVpaWlixKFWrEj5AZeMJgR7u2Px1MFSxyGRLI8OhY9GjaLyGrySelLqOERdnigFuG/fPhgMBiQnJ2PgwIFYuXIlNm7c2OKYLVu2wNfXF8uWLcOgQYOwfPnyVsdQx32Zdwk7jpZBqQCSZo7gGn/diNbNGavuDQMAbPq+GJlnKiRORJ2pwdKIjfuLYLLwaL+9RCnAnJwcjB8/Hj169AAAhIWFIS+v5dWrc3JyMHnyZNt0W2PHjsXRo0dbHGMymWA0Gps9yH6VNQ1YsvMEAOBPtwVjdH9PiROR2G4f3Af3jwmAIACLtx9HbYNF6kjUSd5KK8SLKXmYvfEQl8dqJ1EK0Gg0Iijov2vGKRQKODk5obKy0u4xGo0GZWVlLb5OYmIitFqt7REQENDx8DKiVCpw2yBvhPTxwMIpN0kdhzrJ36cPQT+tK85dqcXL+3gqtDvKLTPgrbRCAMDvxw/gvL3tJEoBqlQqqNXqZs+5urqitrbW7jGt7Q8ACQkJMBgMtkdJSUnHgsuM1s0ZyTNHYuf8SJ767MY0rs54Oa7pVOi/Dp7F96fLJU5EYjJZrHh6Ww4sjQLuGt4X08N8pY7ksEQpQC8vL+j1+mbPVVVVwcXl+hMq/3JMa/sDgFqthkajafagtuNsL93fbYN644Fx/QEAz2w/jmoTT4V2F298VYiTF6vQy90FL87gqi0dIUoBRkREICMjw7ZdXFwMk8kEL6/rX17/yzHZ2dnw8/MTIw4RAVhy1xD46dxQWlmHxC/ypY5DIsgpuYp16acBAC/GDkMvD3UrI6glohTgxIkTYTAYsHnzZgDAqlWrEBUVBScnJxiNRpjN5mvGxMTEYP/+/UhLS4PFYkFSUhKmTp0qRhwiAuChVuHVn06Fbsk8h+9+1LcygrqyerMVT23LgbVRwPQwX9w1nKc+O0q07wA3bNiAuXPnwsfHB9u3b8eqVasANF0Runfv3mvGeHt7Y/Xq1Zg6dSp8fX2Rm5uLpUuXihGHiH4SGeKN2bcMAAD8bftxGOuv/ccoOYbXvjyFwsvV8PZQ48UZw6SO0y0oBBGvny0rK0NWVhYiIyPRu3dvu8YUFhYiPz8fkyZNavN3ekajEVqtFgaDgd8HEl1HjcmC3/7zO5y7UouZY/zxStwIqSNRGx05W4n71n+PRgHY8Idw3Dm0r9SRupT2doGoBXijsQCJ7HOo6Aru33AQggBsfGgMFz12ILUNFtz1z+9QXFGL343yQ/L9I6WO1OW0tws4GTaRDIwN8sIfJzTdd/vsjhOorGmQOBHZ65V/F6C4ohZ9Na54Lmao1HG6FRYgkUw8PXUwBvZ2h77KhOWf/yB1HLLD94Xl2PR9MQDglbgwaN14C5OYWIBEMuHq7ITkmSPhpFRgT855pBw/L3UkaoGx3ozF25tWbXlwXH9MvMm+6yrIfixAIhkZEaDD478ZCABYuisXl431Eiei63lhTx7Krtahv1cPLLlriNRxuiUWIJHMPDF5EIb20+BqrRl/++w4J1LuglJ/uIjtR5oWrF49cwTc1VywujOwAIlkxkWlxGv3j4SLSom0Aj0+OnRO6kj0P8qrTViyo2nVlscmBiMikAtWdxYWIJEM3eTTE8/8tBjySyn5KC6vkTgRAYAgCHj2s+OoqGnAYJ+eWMRVWzoVC5BIph6ZEIRbgnuhzmzFwq3ZsFgbpY4ke58cLsH/5V+Gi5MSa+JHQq3iqi2diQVIJFNKpQJJM0egp6sKx85dxZs/rS9H0igur8GLKU0LiT899SYM8eXkHp2NBUgkY346N7wU2zSv5BtfF+LouesvYk2dx2xtxIJPs1HbYMX4YC88emuw1JFkgQVIJHMzRvohZkQ/WBsFLPgkm2sHSuCf//cjskuuoqerCqtnjoRSyTX+bgQWIBHhxdhh8NO54dyVWjy3m7PE3EiZZyrw1jdNp59X3jMcfjo3iRPJBwuQiKB1c0byzBFQKoDPjpZid3aZ1JFkwVBrxqKtORAE4N7R/oge0U/qSLLCAiQiAMC44F54YvIgAMDSnbkouVIrcaLuTRAEPLvjuG22lxUzONH1jcYCJCKbv04OwZgBnqgyWfCXj4/BzFsjOs1Hh85hX+5FqJQKvDFrFDw428sNxwIkIhvVT/efaVxVyC65iqTUAqkjdUsFF6vwwp6mWx7+Nu1mjAjQSRtIpliARNSMv2cP26rxb397BmknL0ucqHupMVnw+EdHYbI0YtJNvfHHW4OkjiRbohRgbm4uIiIi4OnpicWLF9s9uW50dDQUCoXtERUVJUYcIuqgacP64uHIQADAoq3ZuGCokzZQNyEIApbtykXh5Wr4aNRYPXMEb3mQUIcL0GQyITo6GuHh4cjKykJeXh42bdpk19gjR47gxIkTqKysRGVlJXbv3t3ROEQkkoS7bsYwPw0qa814fMtRfh8ogq1ZJdhxrAxKBfB6/Ch4e6iljiRrHS7Affv2wWAwIDk5GQMHDsTKlSuxcePGVseVlpZCEAQMGzYMOp0OOp0O7u7uHY1DRCJRq5yw9oFw9HRV4ei5q0j84qTUkRzaD+cNWP7TPZZP3TkY44J7SZyIOlyAOTk5GD9+PHr06AEACAsLQ15eXqvjDh8+DKvVCn9/f7i7uyM+Ph6VlS1Pw2QymWA0Gps9iKjz9O/VA8kzRwIA3jtQhL3HL0gbyEFdrW3A3A+PwGRpxO2De2PepIFSRyK0oQBjY2NtR2r/+3j99dcRFPTfL3EVCgWcnJxaLbOCggKEh4cjNTUVWVlZKC4uxpIlS1ock5iYCK1Wa3sEBATYG5+I2mlKqA/+PKlpbsrF23Nw6lKVxIkcS2OjgAWfZqPkSh0CvNzw2v2c6qyrUAh2XrFy6dIl1NVd+0X4P//5TygUCiQnJ9ueCwgIQEZGBvz8/OwOkp6ejri4OOj1+uvuYzKZYDKZbNtGoxEBAQEwGAzQaDhzOlFnsVgbMfu9Q/j+dAWCvN2x6/EJ0Lo5Sx3LISR/eQqvf/Uj1ColdsyPxNB+WqkjdTtGoxFarbbNXWD3nZc+Pj6/+nzfvn2Rm5vb7Lmqqiq4uLjYHQIAdDodysvLYTKZoFb/+hfDarX6un9GRJ1H5aTEG7NGIebNAygqr8HCT7Px7uwxPJJpxb4TF/D6Vz8CaJrnk+XXtXT4O8CIiAhkZGTYtouLi2EymeDl5dXiuLi4uGbjDh8+jL59+7LgiLqoXh5qvP2HcKhVSnx98jJe4U3yLcq/YMSirTkAgD/eGoR7w/0lTkS/1OECnDhxIgwGAzZv3gwAWLVqFaKiouDk1LSSsdFohNlsvmZcWFgYFi5ciMzMTKSkpGDZsmWYP39+R+MQUSca5qfFK3FhAID16afx2ZFSiRN1TeXVJvxpcxbqzFbcNsgbCb+9WepI9Cvs/g6wJbt27cIDDzyAnj17wmq1Ij09HUOHNk3sGhgYiDVr1iA2NrbZGLPZjLlz52Lbtm3o06cPZs+ejSVLlkClsn8+vPae9yWijklKLcCbaYVwcVLioz+Nw5jAls/4yEm92YpZ72Tg2LmrCOzVA7senwBdj7Z9JURt094uEKUAAaCsrAxZWVmIjIxE7969xfiRrWIBEkmjsVHAvC1HkPrDJXj2cMaO+RMQ5M37eBsbBfz1k2NIOX4BWjdn7JgfiYG9PaSO1e21twtEmwvUz88PM2bMuGHlR0TSUSoVeO3+kQjz16Ky1oyH3z+EimpT6wO7uVf/U4CU4xfg7KTA+t+Hs/y6OE6GTUTt0sNFhY0PRcDf0w1nK2rxx39lobbBInUsybx/oAjrvjkNoOmKz1sGcqaXro4FSETt1runGpvmjIXWzRnZJVcx98OjaLDIb87QlOPn8UJK0wxYi6cOxn1jOEmHI2ABElGHhPTxwHsPR8DN2QnfntJj0dZsWBtFubTAIaSdvIyFn2ZDEIDZtwzA/N9wmjNHwQIkog4LH+CJ9X8Ih7OTAinHL2DJjhNolEEJfn+6HHM/PAKzVcDdYb54LnooFApODuAoWIBEJIpJN/XGmvtHQakAPs0qwdLdud26BLOKr+DRf2XBZGlE1BAfrLl/JJw4M45DYQESkWjuDvNF8syRUCqAjzLPYfnn3bMED56uwOz3DqG2oelG9zcfGAVnJ/516mj4X4yIRBU7yg9J942AQgF8mHEOi7cfh6UbLab73Y96zNn03/Lb8IcxcHV2kjoWtQMLkIhE97vR/nhtZtMpwc+OluLxj47CZLFKHavDUo6fxyObDqPe3IjJN/fBO7PHwM2F5eeoWIBE1CliR/lh3YOj4eKkROoPlzB74yFcrW2QOla7bTpQhL98fAxmq4C7hvfF+t+H88jPwbEAiajT3Dm0L96fEwEPtQqZRVfwu3Xf41xFrdSx2sRibcQLe/Lw/J48260Ob8waDRcV//p0dPwvSESdakKIN7bPuwX9tK44o6/BjLf2Y/+P5VLHsouhzow5mw7jvQNFAICn77wJK2KG8mrPboIFSESd7ua+Gux8fAKG+zXNHTr7vUys/aYQIs3F3ylOlBoQ8+Z+fPdjOdycnbDuwdF4YvIg3ufXjbAAieiG8NG4YtvcW3BfuD8aBeCVfxfgofcP47KxXupozQiCgE0HinDvuu9xtqIWfjo3bJ93C3473FfqaCQy0ZZDkgKXQyJyPIIg4ONDJVix5weYLI3w7OGMlfcMx7RhfSU/uiq5UotndxzHgcIKAMCdoT54NW4EtD2cJc1FLZN8PUApsACJHNePl6rw5CfZyLtgBABEDemD52OGwt+zxw3PYrY2YvPBs1j9nwLUNljh6qzEs9NuxkORgZKXMrWOBcgCJHI4JosVb3xViLe/PQ2zVYCrsxKP3hqMxyYFQ+Pa+UddgiDgmwI9Xtqbh9P6GgDA2EAvvBwXxgV+HQgLkAVI5LB+vFSFv+/KxaGiKwAAXQ9nPHprEB4cNwCe7i6iv54gCPj65GW88XUhskuuAgB6ubvgqTsHIz4iAEpe5elQJC/AiooKjBkzBmlpaQgMDLRrTHp6OubOnQu9Xo8lS5Zg0aJFbXpNFiBR9yEIAv6Tdwmvphag8HI1AMDVWYl7Rvnj3tF+GN3fs8PFVF5two6jpfjkUAnOlDcd8alVSjwUGYgnJofckKNOEl97u0AlxouXl5cjOjoaxcXFdo/R6/WIiYnBU089hVmzZiE+Ph6jRo3C7bffLkYkInIwCoUCU4f2RdQQH3yeU4Z3vyvCD+eN+PjQOXx86Bz8dG6YEuqDWwb2wthAL7uODE0WK/IvVOFQUQX+L+8yss5ewc9zc7u7OOH34wfg0duC0bunupN/O+qKRDkCjIqKQnR0NBYsWICioiK7jgDXrFmD9evXIz8/HwqFArt378a2bdvw4Ycf2v26PAIk6r4EQUDGmSvYdqQEqbkXUdPQfC7RPj3VCOnjgT491dD1cIHaWQmzRUC9xYpLhnqUXa3DGX0NGn4xEfcIfy3ix/ZH9Ih+8FCLcgxAEpP0FOiZM2cQHBwMhUJhdwHOmTMHbm5uWLt2LQDgwoULuOOOO5CXl3fdMSaTCSaTybZtNBoREBDAAiTq5uoarEg/dRkHCitw4HQ5zvx0wYo9vNxdMMJfi98M7oM7hvSR5CpT6lydfgo0NjYW33zzzTXPv/TSS3jiiSfsfsGfGY1GhIaG2rY1Gg3KyspaHJOYmIgVK1a0+bWIyLG5uThh2jBfTBvWdDN6Vb0ZhZercVpfg8qaBlyta0C9uREuKiVcnJTw0bjCz9MNQb3cEeDlxlsZ6FfZXYBvv/026urqrnney8urfS+sUkGt/u95d1dXV9TWtjxJbkJCQrMLZX4+AiQieenp6oxR/T0xqr+n1FHIgdldgD4+PqK+sJeXF/R6vW27qqoKLi4tf6mtVqublSYREVF7STYXaEREBDIyMmzb2dnZ8PPzkyoOERHJTKcXoNFohNlsvub5mJgY7N+/H2lpabBYLEhKSsLUqVM7Ow4RERGAG1CAYWFh2Lt37zXPe3t7Y/Xq1Zg6dSp8fX2Rm5uLpUuXdnYcIiIiAF1gKrTCwkLk5+dj0qRJbb6VgfcBEhGRpDPBdERISAhCQkKkjkFERDLDBXGJiEiWWIBERCRLLEAiIpIlFiAREckSC5CIiGSJBUhERLLEAiQiIlliARIRkSyxAImISJZYgEREJEssQCIikiUWIBERyRILkIiIZIkFSEREssQCJCIiWWIBEhGRLIlWgBUVFQgKCkJxcbHdY6Kjo6FQKGyPqKgoseIQERG1SJQV4cvLyxEdHd2m8gOAI0eO4MSJE/D39wcAODs7ixGHiIioVaIcAcbHxyM+Pr5NY0pLSyEIAoYNGwadTgedTgd3d3cx4hAREbVKlALcsGEDnnzyyTaNOXz4MKxWK/z9/eHu7o74+HhUVla2OMZkMsFoNDZ7EBERtYfdBRgbG2s7Uvvfx5tvvong4OA2v3BBQQHCw8ORmpqKrKwsFBcXY8mSJS2OSUxMhFartT0CAgLa/LpEREQAoBAEQbBnx0uXLqGuru6a5728vKDRaJp+mEKBoqIiBAYGtjlIeno64uLioNfrr7uPyWSCyWSybRuNRgQEBMBgMNgyEBGRvBiNRmi12jZ3gd0Xwfj4+LQrmL10Oh3Ky8thMpmgVqt/dR+1Wn3dPyMiImoLye4DjIuLQ0ZGhm378OHD6Nu3LwuOiIhuiE4vQKPRCLPZfM3zYWFhWLhwITIzM5GSkoJly5Zh/vz5nR2HiIgIwA0owLCwMOzdu/ea5xMSEhAaGoopU6ZgwYIFmDdvHhISEjo7DhEREYA2XATTFbX3i08iIuo+2tsFnAuUiIhkiQVIRESyxAIkIiJZYgESEZEssQCJiEiWWIBERCRLLEAiIpIlFiAREckSC5CIiGSJBUhERLLEAiQiIlliARIRkSyxAImISJZYgEREJEssQCIikiUWIBERyRILkIiIZIkFSEREssQCJCIiWRKlAHfv3o3g4GCoVCqMGzcO+fn5do1LT0/HkCFD4O3tjeTkZDGiEBER2aXDBXj69GnMmTMHq1atQllZGQYMGIBHH3201XF6vR4xMTGYNWsWDh48iC1btiAtLa2jcYiIiOyi6ugPyM/Px8qVKzFz5kwAwLx58zBt2rRWx23ZsgW+vr5YtmwZFAoFli9fjo0bN+L222+/7hiTyQSTyWTbNhgMAACj0djB34KIiBzVzx0gCEKbxnW4AKdPn95su6CgACEhIa2Oy8nJweTJk6FQKAAAY8eORUJCQotjEhMTsWLFimueDwgIaENiIiLqjioqKqDVau3e3+4CjI2NxTfffHPN8y+99BKeeOIJAEBDQwOSkpKwcOHCVn+e0WhEaGiobVuj0aCsrKzFMQkJCVi0aJFt++rVqxgwYADOnTvXpl9azoxGIwICAlBSUgKNRiN1HIfB963t+J61D9+3tjMYDOjfvz+8vLzaNM7uAnz77bdRV1d3zfP/+4JLly6Fh4cHHnvssdZfWKWCWq22bbu6uqK2trbFMWq1utmYn2m1Wn5Q2kij0fA9awe+b23H96x9+L61nVLZtsta7C5AHx+fFv/8yy+/xPr165GRkQFnZ+dWf56Xlxf0er1tu6qqCi4uLvbGISIi6hBRboM4c+YMHnzwQaxbt67Zac2WREREICMjw7adnZ0NPz8/MeIQERG1qsMFWFdXh+nTpyM2NhYzZsxAdXU1qqurbVfjGI1GmM3ma8bFxMRg//79SEtLg8ViQVJSEqZOndqm11ar1Xjuued+9bQo/Tq+Z+3D963t+J61D9+3tmvve6YQ2nrd6C/s2rUL99xzzzXPFxUVITAwEIGBgVizZg1iY2Ov2Wft2rVYsGABtFot3N3dkZmZ2eqpViIiIjF0uAA7qrCwEPn5+Zg0aRK/8CUiohtG8gIkIiKSAifDJiIiWWIBEhGRLDl8AbZ3JQo5ys3NRUREBDw9PbF48eI2z5snV/yMdcy0adOwadMmqWM4lGeffRbR0dFSx3AIH3zwAfr37w8PDw9ERUWhuLjY7rEOXYDtXYlCjkwmE6KjoxEeHo6srCzk5eXxLyU78DPWMVu2bEFqaqrUMRxKbm4u1q5dizVr1kgdpcs7ffo0/v73v2PXrl3Iy8vDgAED8PDDD9v/AwQHtmfPHmHdunW27a+//lpwcXGRMFHXtXPnTsHT01OoqakRBEEQsrOzhQkTJkicquvjZ6z9KioqBB8fH2Hw4MHC+++/L3Uch9DY2ChERkYKy5YtkzqKQ9i2bZtw33332ba/++47wdfX1+7xHV4NQkrtXYlCjnJycjB+/Hj06NEDABAWFoa8vDyJU3V9/Iy131NPPYV77rnnV+cQpl/3zjvvIDs7G48++ihSUlIwdepUu6aWlKvQ0FB8/fXXOHbsGIKDg/HWW29hypQpdo93iFOgsbGx0Ol01zzefPNN2z4/r0Qxf/58CZN2XUajEUFBQbZthUIBJycnVFZWSpjKsfAzZr+0tDR89dVXePnll6WO4jCqq6uxdOlSDBo0CKWlpUhOTsbEiRNRX18vdbQuKzQ0FHFxcRg9ejR0Oh0yMzORlJRk93iHOAIUeyUKOfrl6hvAf1fg8PT0lCiVY+FnzD719fX485//jHXr1nFyizbYsWMHampq8PXXX8PLywsJCQkYPnw4Nm/ezM/cdWRkZGDPnj3IzMxEaGgoEhMTcdddd+HQoUO2tWZb4hAFKPZKFHLk5eWF3NzcZs9xBQ778TNmvxdffBERERG4++67pY7iUEpLSzFu3DjbP+xVKhXCwsJQVFQkcbKu69NPP0V8fDzGjh0LoGl92vXr1yMnJwcjR45sdbxDFGBL2rMShRxFRETg3XfftW0XFxfDZDK1eQFJOeJnrG0++ugj6PV66HQ6AEBtbS22bt2KQ4cOYe3atdKG68ICAgKuOdN19uxZ3H777RIl6vosFkuzr3GqqqpQU1MDq9Vq13iHngqtrq4O4eHhuPXWW5GcnGx73t3d3a7DXzmxWCzo168fkpKSMHv2bMydOxdlZWXYs2eP1NG6NH7G2q60tBQWi8W2/fTTT2P8+PF4+OGH4e3tLWGyru3KlSsIDg7GqlWrMH36dOzYsQPPPPMMTp48icDAQKnjdUmffPIJHnnkEfzjH/+Aj48P3n33XZw+fRqFhYX2nakR/8LUG2fnzp0CgGseRUVFUkfrknbu3Cm4ubkJffr0EXr16iXk5uZKHanL42es4x566CHeBmGngwcPCpGRkYKbm5sQFBQk7Ny5U+pIXVpjY6Pw/PPPC/379xecnZ2FUaNGCVlZWXaPd+gjQGq7srIyZGVlITIyEr1795Y6DhGRZFiAREQkSw5xHyAREZHYWIBERCRLLEAiIpIlFiAREckSC5CIiGSJBUhERLLEAiQiIlliARIRkSyxAImISJb+H8htKtSh7sPlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2\n",
    "# 获得与xlim ylim相同的效果\n",
    "# [xmin, xmax, ymin, ymax]\n",
    "plt.axis([-2, 8, -2, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "6baac46d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-2.0, 8.0, -2.0, 2.0)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2 \n",
    "# options - shift + tab 见文档\n",
    "plt.axis([-2, 8, -2, 2])\n",
    "plt.axis('off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "108d1f92",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.3141592653589793,\n",
       " 6.5973445725385655,\n",
       " -1.0998615404412626,\n",
       " 1.0998615404412626)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2 \n",
    "# options - shift + tab 见文档\n",
    "plt.axis([-2, 8, -2, 2])\n",
    "plt.axis('equal') # equal 会让x轴和y轴刻度距离相等"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "ee1b6007",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.3141592653589793,\n",
       " 6.5973445725385655,\n",
       " -1.0998615404412626,\n",
       " 1.0998615404412626)"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2 \n",
    "# options - shift + tab 见文档\n",
    "plt.axis([-2, 8, -2, 2])\n",
    "plt.axis('scaled') # scaled 会自动缩放坐标轴和图片匹配"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "eb704ccc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.3141592653589793,\n",
       " 6.5973445725385655,\n",
       " -1.0998615404412626,\n",
       " 1.0998615404412626)"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2 \n",
    "# options - shift + tab 见文档\n",
    "plt.axis([-2, 8, -2, 2])\n",
    "plt.axis('tight') # tight紧凑自动适配图片"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "a0f4bc3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.3141592653589793,\n",
       " 6.5973445725385655,\n",
       " -1.0998615404412626,\n",
       " 5.811642297456283)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(5,3))\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi, 100)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 控制坐标轴 方法2 \n",
    "# options - shift + tab 见文档\n",
    "plt.axis([-2, 8, -2, 2])\n",
    "plt.axis('square') # Square plot; similar to 'scaled', but initially forcing ``xmax-xmin == ymax-ymin``."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7abccd1a",
   "metadata": {},
   "source": [
    "#### 标题和网格线\n",
    "[标题和网格线](https://www.bilibili.com/video/BV1nM411m7Cf?p=15&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- title\n",
    "- grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "22604bf7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# figure就不设置了\n",
    "\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "# 标题\n",
    "plt.title('sin(x)'\n",
    "         , fontsize=20\n",
    "         , loc='center')\n",
    "\n",
    "# 父标题\n",
    "plt.suptitle('这是一个父标题'\n",
    "            , fontsize=26\n",
    "            , y = 1.1)\n",
    "\n",
    "\n",
    "# 网格线\n",
    "plt.grid(ls='--'     # line style\n",
    "        , lw=0.5     # line width\n",
    "        , color='c'  # 颜色\n",
    "        , axis='y'   # 控制要显示的网格。 默认情况下两个都显示\n",
    "        )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c12d1412",
   "metadata": {},
   "source": [
    "#### 标签\n",
    "[标签](https://www.bilibili.com/video/BV1nM411m7Cf?p=16&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- xlabel\n",
    "- ylabel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "5b40f3b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'y=sin(x)')"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 2 * np.pi)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y=sin(x)'\n",
    "           , rotation=0\n",
    "           , ha='right' # 水平对齐方法\n",
    "          )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1edf743f",
   "metadata": {},
   "source": [
    "#### 文本（重要，配合注释可用于手动标定极值）\n",
    "[文本](https://www.bilibili.com/video/BV1nM411m7Cf?p=17&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "883d3b6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plt.figure(figsize=(5, 3))\n",
    "\n",
    "x = np.linspace(1, 10, 10)\n",
    "y = np.array([60, 30, 20, 90, 40, 60, 50, 80, 70, 30])\n",
    "plt.plot(x, y, ls='--', marker='.')\n",
    "\n",
    "# 文字\n",
    "#plt.text(4, 90, 'hello')\n",
    "for a, b in zip(x, y):\n",
    "    plt.text(\n",
    "        x=a            # x轴坐标\n",
    "        , y=b + 0.8          # y轴坐标 \"+0.8\"是为了微调文本位置\n",
    "        , s=b          # 要展示的内容\n",
    "        , va='bottom'\n",
    "        , ha='center'\n",
    "        , color='r'\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf965c33",
   "metadata": {},
   "source": [
    "#### 注释（重要，配合文本可用于手动标定极值）\n",
    "[注释](https://www.bilibili.com/video/BV1nM411m7Cf?p=18&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- annotate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "b108f190",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(2, 80, '最高销量')"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(1, 10, 10)\n",
    "y = np.array([60, 30, 20, 90, 40, 60, 50, 80, 70, 30])\n",
    "plt.plot(x, y, ls='--', marker='.')\n",
    "    \n",
    "# 注释\n",
    "plt.annotate(\n",
    "    text='最高销量'       # 标注内容\n",
    "    , xy=(4, 90)          # 箭头（如果设置显示的话）会指向的位置\n",
    "    , xytext=(2, 80)      # 文字会出现的位置\n",
    "    , arrowprops = {\n",
    "        'width': 3\n",
    "        , 'facecolor': 'c'\n",
    "    }\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e40ba491",
   "metadata": {},
   "source": [
    "#### 保存图片\n",
    "[保存图片](https://www.bilibili.com/video/BV1nM411m7Cf?p=19&spm_id_from=pageDriver&vd_source=8bd7b24b38e3e12c558d839b352b32f4)\n",
    "- savefig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "dbee60ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(5, 3))\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "plt.plot(x, np.sin(x))\n",
    "plt.plot(x, np.cos(x))\n",
    "\n",
    "# 保存\n",
    "\n",
    "# 方法1\n",
    "#plt.savefig('data/sincos.png')\n",
    "\n",
    "# 方法2\n",
    "fig.savefig(fname='data/sincos_fig.png'\n",
    "           , dpi=224\n",
    "           , facecolor='c'   # 背景颜色\n",
    "           , pad_inches=1    # 内边距\n",
    "           )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76c34bc8",
   "metadata": {},
   "source": [
    "#### 刘洋 实用综合 \n",
    "- @since 202310122102"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "45e9442a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+vr5ITU1F5cqV4ejoiEaNGgFAhn9PIsodhmqiQpSSkoIOHTtBrbSCTY/PITO1gk2fuZC71UOPHj2wYsUKfZdYLGzZsgWvX7/OMFW8iYkJtm3bhnHjxukeVLx9+zY++eSTDNu+CYJqtRqPHj3KcFcwq9etW7d0U9yr1WoAwLp16/DVV1/h008/xR9//IHGjRujV69eiIqKytN5dOrUCVWqVMG+ffvg5uaGIUOGZAqnb2YA/e8Dk2PHjoWXl5fu/GbMmAF3d3dMmzYt03HKlSuX7egTx44dQ7ly5dCkSRN069YNqampEELoAt+bsKhSqTI8/HnlyhWYmprC0NBQdzc3p5dMJoNSqdQNJ/ndd9/Bw8MDhw8fxubNm3Wjm0ilUpiamurOu2bNmrh27RrGjx+P7du3o3Xr1rh586aulvj4eBgZGWHr1q1o3LgxmjZtit69e8PCwgJt2rSBr68vfHx8MHv27Nz802SS2w8N/5aQkIBff/0VjRo1wvDhwzFt2jTdNZQX5cqVw5YtW+Dh4YEhQ4bolr95SDCrDz0eHh548uQJ/Pz8MGnSJBw9ehSLFy/GqFGjMjyM+W9WVlaYN28e5s6dm2H5Tz/9hBs3bqBmzZpITk7G3bt3ERoailevXmHhwoVITU2Fvb19ns+LqKzjONVEhUgmk8HFxQVhN24iNeQBjDwaQqpQwqb7p4j+cznGjBmDkJAQzJ49u0wPa/XmB/i/f23/xpdffgmNRoO5c+fCx8cHlStXzvD+jRs3dHfX8mr37t3o0aMHAgICYGZmhpEjR0KpVKJRo0bo0qVLrroJ/VuzZs1009abm5vDy8sLr169ytC9QiqVQqPRZNpWIpFg2bJlqF+/Pn788Uds2LABZ86cyXK0Eo1G89baXr9+jalTpwIAVq1ahXHjxmHdunUZ1vn3iDc1atTQ3aW1t7fHiBEjoFAooFAocnX+Wq0WarUaDRs2BAD4+fnh8ePHmDt3rq5LxBsKhSLDdW5iYoLFixfjww8/xPnz51G3bl3de+Hh4TAzM8OUKVMwefLkLEOwVCqFVCrFsGHD3lrfjBkzdCOmaLVa3Qg9eR3lQq1WY9CgQZDJZDh8+DD8/f3RvXt3XLlyJduhNAMDAzP9327bti26dOmCBw8eYOPGjRg6dCjatGmT7Z3qmzdvYu/evdi9ezciIiKwfPlyKJVKzJo1C3PnzkXbtm3Rq1evTNv9d0SdAwcO4LfffsOZM2cwffp0REZGYuzYsVi6dCmmTp2KK1euoHz58mjbtm2evj9ExFBNVKgUCgX++vM4+vXvj4O75sK6wySY1m4HiVQGq7bjIDOzxZw5cxASEoJly5ZBLud/yf8KDg7Gpk2bUK1aNVy8eBFTp07FTz/9pHu/Tp06CA0NhaGhIeLi4qBUKmFubg4AGD9+PNRqdabfCLzprvBmvQEDBmDRokWoUaMGWrduDR8fH/Tq1QsWFhZ5qnXSpEm6v9vZ2QHI3IfbxsYGiYmJSElJyRSeatSogY8//hgfffQRJkyY8NZJiF69epXlBCZ37txB3759dV1DrK2t8e2332L27NlQKpUIDQ1F/fr1cfz4cdSoUSNTsKxYsSJWrVqVp3P+L2dn5zz/BsbT0xOenp4Zlj1//lx3jp999hm+//77TNvNmDEjy1lQ4+PjodVqIYTAV199pRsbe/z48UhISEB8fDwSExMzjOmc3aRBcXFx8PPzw/Hjx3H06FFYW1vD19cX58+f1901P3jwYJbbOjs748KFC7qv+/Tpo/t7tWrV0KFDB3z77bdo06aNbijOrO5Ux8bG4sSJE5g8eTK8vb3RqlUr9O/fHzt27EBQUBDWr18PS0vLt57DG0II2NnZ4fLly/j5558hkUgQERGBBg0awMjICFu2bGGgJnpH7P5BVMiMjY2xe9cujBo5ApGHfkbM+a0QQkAikcDCpw9sunyItevWoVv37rqxtCndsWPH4OXlBVtbW1y6dAnff/89fv75Z8yaNUu3jkKhgIODAywsLLBx40a4u7sjPj5e14UhLS0NMTExiI6ORmRkJEJDQxEfHw97e3tdqK1SpQoeP36MefPmwdDQEF9++SVq1KiB8PDwPNXr4eGRq/Xq1auH06dPZ/leSEgIgPR+yVl59OgR5HI5HBwcMixPTExE586dIZfLsXr1at1yBwcHuLu7w8nJSRf0bWxs4OjoCFdXV7i6uuaq5qJ269YtVKhQAUD6/6FWrVplGI+5WbNmWd7RBdIngypXrhwCAgKwcOFCODo6wtHREbt27cKBAwfQsGFDBAYGonLlytixYwd27NiBn3/++a21rF69GidPnsSOHTvQvHlz3fJKlSrhr7/+wvz589/az18mk2V4oPG/gXn06NH466+/8PLlS12fcWNj40z7adGiBU6ePImRI0eiatWq2LBhA/z9/dG2bVu0a9cOu3fvRuvWrbP/pgLo2rUrevbsiffffx8xMTHYvHkzJBIJXF1d8emnn2b7fSCi7DFUExUBuVyOZcuWYc6cOYg9sxFRRxdDaNO7AJjWbAPbXl/i+F+n0LxFyzwHudIoODgY3bp1Q/v27dG2bVucOHECZmZm+PjjjzFp0iTMnTsXGzduzLCNEAJbtmxB/fr1deERSO/iUaVKFVStWhVVq1ZFtWrV8MEHH2TYduXKlTh16hT69++PX375BZcvX8aLFy8yzYCXk9x2F+nduzc2bNiQafmRI0ewadMmbNu2DYcPH8bWrVszrbNhwwb07t07U5cCExMTHD9+HGfOnCnx/WE1Gg3OnDmDBg0aAICuP/ibh1kNDQ2zner8m2++QWJiIn799VdcvnwZMTExCAwMxPfff4/k5GT4+/vj/PnzqFOnTq7qmTp1Kl6+fImuXbtmes/T01PXpeRddO3aFVeuXEG5cuWQmJgIuVz+1j7SQPpDsc7OztizZw8++eQTPHjw4K2BPisfffQRxo0bh5kzZ2Lw4MFo1aoVfH198eDBA4wYMQJ37tzJ9SyfRJQRf9dMVEQkEglmzpyJ8uXLY/SYMRCJ0bDuNg1ShSGMKtSHbf9vcHfXV/Dy8cXxo0dyfdeztLh79y4uX76MsLAwjB8/Hi4uLti7dy+6d++eYb0ff/wRJiYm6NmzZ4blmzdvxp07d6BUKvHpp5/qZsvz8/PD2rVrsz12eHg4Zs+ejdTUVLi4uGDfvn0Acn/nOa9GjRqF6tWr4/Lly/Dy8gKQ/hDcmDFjMHHiRPTt2xf379/H5MmT0aZNG92HhMDAQCxbtgxXr17Ncr9VqlQplHqL2smTJxEWFoaWLVsCAJKSkvDnn39m+iDRpEmTt+7j1q1bGDVqFH766SdUrlwZL168wLRp0xAREQE/Pz/8+eefOV4X//amq1BeaTQa3W8fgMyzrRoYGOj6uEdFRWU6zn/73zdo0ABLlizBtm3b0LVrV9jY2ODmzZsZPkhm1f/8zbIFCxZg6NChmD9/Po4dO4YVK1agSZMmWL58OczMzLBt2za0bt0acXFxmUaeIaLsMVQTFbERI0bAyckJPXv1RsTvM2HTcyZkRuZQOnrC1u97hO74El7ePjhy+JDu4a/SLC0tDbNnz8bSpUt1fTx79uwJLy8vhIaG4uzZs7C0tIRMJoNarUZSUhJat26N3bt3w8PDAz4+Prh79y7Gjx+P3r17Y968eRg7dizKly8PCwsLVKpUCadOnYKlpSUMDAygUqmQkpKCqKgoWFhYwNfXF9OmTUN8fDw+++wzvHr1Cs7Ozli0aFGGX/UXJAsLC/zwww8YNGgQzp07Bzs7O3z66adIS0vTjdQwffp0bNq0CZMnT8bWrVuRlJSEAQMGYNq0aTl22XgzXFx8fDzCwsKgUCgglUp1fa3DwsJ0QU+lUkGr1RbJhziNRpPjqBtarRYzZsyAh4eHLmx+/fXX+PLLLzOsp1Kp8PDhQ1y+fBmPHz/O8H/l9evX6N27N6ZMmYIJEyYAAKpXr46VK1di9uzZOH36NOzt7TNMD/4m7P47uOdmTPOAgADdB0Ig40OGbwL1f8e779ixY5b7unPnDqysrDIsU6vVSEhIyBDMvby84OXlhRkzZuDs2bNITU3Vvf/v0Vz+vQ8hBDQaDf7880907doVffr0wd27d1GuXDn88ssvsLe3h0KhgI+PD06dOlVqPqARFamim2eGiP7t8uXLwtrGVhjauohyY1cKt08PCLdPDwjnyZuEUfmqwsjYRPzxxx/6LrPQqdVqMXToUHHmzBndsri4OPHrr7+Knj17ilq1aglHR0dhYmIiFAqFkEqlulnkbt26JQIDA4WlpaWoV6+eiI2N1e3j4sWLYvbs2aJDhw7Czc1NWFpaCplMlmEWukOHDunjlHWmT58uBg0alKt1Z8yYIQYOHJirdY8dO6ab3U+pVApTU1NhYWGR5cvIyEhUrFgxP6eRayYmJmLp0qXZrpOcnCyGDx8uFi9enOP+atasKZRKpahZs6a4cuWKbvlff/0lBg8enOXMqcuXLxcAxLp163TLDh8+LExMTISFhYVISkrSLXdychJTpkzJtoaIiAhha2srLC0thZ+fn0hJSdG9t2zZMuHm5pZh/RYtWojp06frvn748KEYNmyY6NatmzA0NBQzZszIsH67du3yPFV6nz59MtUIQNy9e1cIIXSzusbHxwt3d3ehVCrF2rVrsz1PIsqZRIi/b2kQUZF78uQJ2rbvgFcRMbDp9SUMHNLvFmpVKYja9x2Sn1/DqpUrsx0yjIBr167Bw8MjV6MfFCdCCMTExGS6O5mVxMREKBSKDJOFvM2hQ4fQuXNnxMXFwczMrCBKLRBKpRILFy7E5MmTc1w3u2ED30hLS8vV9+O/Dh06hE6dOum+Tk5Oxq+//orevXujYsWKed5fbGxsliPFPHr0CPfv30ePHj10y+7cuQMzMzO4u7sDSL8GunXrhvLly6Nr167o1q1bhn20bt0a9evX1w3VmJNRo0YhKioKu3btytX6ly5dgru7e6YHX4ko7xiqifQsLCwMHTt1xp1792H93ucwqpD+K2+h1SDq6BIk3DqCefPm4fPPPy/TY1kTlUWhoaFQKpW5+uBFRPrFUE1UDCQkJKB3nz44duwYrDpOgWnN9KGxhBCIPb8VsWc3YezYsVi8eHGeJyQhIiKiwsdQTVRMqFQqjB07FmvWrIFli2Ew9+6luzMdf+sooo8uRteuXbB1y5Ysx7ElIiIi/WGoJipGhBCYNWsW5s2bB7P6XWHVZjQk0vQ700lPryBq37doUK8u/jh4ADY2NnquloiIiN5gqNYTrVaLly9fwszMjP1kKZPVq1fjo//7PxhX8oVN1/+DRJ7+MFbqS39E7poDZ0c77N29C25ubnqulIiIqPQSQiA+Ph7lypXLdtIpgKFab7Iau5QoE4kEynJVYddrFmRG6aM4qKJe4PW2L6CJjwRE9mP+EhERUf4FBwfD2dk523UYqvUkNjYWlpaWCA4OfueZuvJCpVLh6NGjaN++PRQKRaEfjwrG5cuX0btPX6QqzGDTezbk5unTT2sSoxGxcw6kca+wedNGtGrVqsCPzWuG8orXDOUVrxnKq6K+ZuLi4uDi4oKYmJgsh878N86oqCdvunyYm5sXWag2NjaGubk5G64SpG3btrh08QLate+A15s+SR/L2r4CZCZWsOv/DSL3LkCv3r2xbu1aDBw4sECPzWuG8orXDOUVrxnKK31dM7npqpt95xAi0rsqVarg0sULqOJeHuFbPkNK4G0AgNTACLY9Z8KoWksMGjQI3333HfiLJyIiIv1gqCYqAZycnHD2zGk0b+yD8B1fIvH+KQCARCaHdacpMPfth08//RRTpkyBRqPRc7VERERlD0M1UQlhbm6OQ4f+QP9+fRGx/3vEXd4NIP1XUlbNB8O6/QQsWrQYffv1Q0pKip6rJSIiKlvYp5qoBDEwMMDGDRvg4uyMb7/9Fur4CFi1HgmJRAqzep0hM7HC3n0L0aZtOxzYv49TGxMRUSYajQYqlUrfZbwTlUoFuVyOlJSUAvnNrEKhKLCZihmqiUoYiUSCBQsWwNnZGR988AG0idGw6fwhJHIFjCv7Qtp3Hq7sngvfxk1w7OiRbIdu1Gg0ePnyJYd3JCIqA4QQCA0NRUxMjL5LeWdCCDg6OiI4OLjA5vmwtLSEo6NjvvfHUE1UQk2aNAlOTk4Y4DcQETu+hM37MyBVmsDQuRrs/L5FwI7ZaOTtg2NHDqNWrVqZthdCYOiwYdi2dSseP34Md3f3oj8JIiIqMm8Ctb29PYyNjUvk5HNarRYJCQkwNTXNcTKWnAghkJSUhLCwMADpzy/lB0M1UQnWq1cv/HncHl26dkP4ls9g0+tLyM1sobBxga3fd4jc9RUaN22K/Xv3omXLlhm2nT59OjZt3AipwgCrVq3C3Llz9XMSRERU6DQajS5Q29jY6Lucd6bVapGWlgZDQ8N8h2oAMDIyAgCEhYXB3t4+X11B+KAiUQnXrFkzXDh/DtZyFSI2f4K08EAAgNzMBnb9F0BrXRHt23fA77//rttm0aJF+Pbbb2HVaiRMarXDshUrS2z/OiIiytmbNt7Y2FjPlRQ/b74n+f05yFBNVArUqFEDly9dhEd5e0Rs+RQpwXcBAFKlMWx7fwmDyo3Rv39//Pzzz9i1axc++OADmDXqAXOv92FapwPCX4fi4MGDej4LIiIqbCWxy0dhK6jvCUM1USlRvnx5nD93Fj6NGiD891lI9D8HAJDIFLDp8hHMvHpi6tSp6NO3L4yrNoNVqxEAAAP7ijAqXwVLly3TZ/lEREQlGkM1USliYWGBY0ePoFfPHojYuwBx1/YDACQSKaxaDod1+wkwrt4qfbQQyT///Y1qdcDRI0cQGBior9KJiIjeycmTJ4vFw/YM1USljFKpxNYtW/Dh1KmIPr4M0SfXQggtAMCsXmfYdJ4KiVyRYRuTas0gUxph1apV+iiZiIjonTVt2hS3b9/WdxkM1USlkVQqxQ8//ID//e9/iLu0A1F//AQhxNvXNzCCYdUWWLZiJdRqdfrCyEi0HTMGCAgomqKJiIjegVwuh7m5ub7LYKgmKs0mTpyImrVqIeXpFUCT/VPNZnU7Iiz0VfoDixERkPXoAZO/x+4kIqLSRwiBpDS1Xl7Z3ejJytGjR1GtWjWYmpqiQ4cOePr0qe69rLp/rF27Fi1btsSKFSvg4OAAe3t77NixoyC+bW/FcaqJSimtVoshQ4fi/gN/2PWdA4ncINv1DRw8YFSuMpYtX473fv0Vom9f4NKlIqqWiIiKWrJKg+qzjujl2PfndICxQe5j6JAhQ/Dxxx+jb9++mDVrFmbOnImtW7dmu829e/ewc+dOnD17FitWrMBHH32E3r1757f0t+KdaqJSatq0afj9999h3fX/YOhSM1fbGNVqjyOHDyNo9mxoJ08u5AqJiIhyx8jICKmpqbCwsMCPP/6IDRs25LhNQkIC1q1bh0qVKmHUqFEIDg4u1Bp5p5qoFPrxxx/xww8/wKrtWJhUaZLr7UyqNUfcydVYffw4Znh7F2KFRESkb0YKGe7P6aC3Y+fFli1bMHPmTMyfPx81atTAL7/8Au8cfk5Vq1YNDg4OAAADg+x/W1sQeKeaqJQ5f/48PvroI8ity8PAwQNCo871tlKlMQyrNs/4wCIREZVKEokExgZyvbzyMuFKYmIiEhMTcezYMURERMDX1xejRo3KcbuifniRoZqolHFxcUGvXr1grEnE602f4OUiP4Tvmov46weginqR48MhpnU7IvTlCxw5op9+dkRERP+m1WrRpUsXbNy4EREREZBKpdBqtfouKxN2/ygAkZGRaNiwIU6cOFEsBh+nss3FxQU7duyARqPBtWvXcOzYMRw+chQXT6xClFoFpaUDFK51YOheD4budSAzyvhJXunoCSMnTyxfsRI99HMKREREOmZmZti4cSNmzpyJ0aNHo0KFCliyZIm+y8qEoTqfIiIi0K1bNwRwLF8qZmQyGby8vODl5YUZM2YgISEBp06dwrFjx3DoyFE82ncUkEhg5OQJhWtdGLnXg7J8NUjkChjV7oAjh39DCAAHfZ8IERGVeb1790bv3r2h1WoRFxeXoWtHy5YtM+WwYcOGYdiwYbqv3d3d8zyMX14xVOdT//790b9/f1y8eFHfpRBly9TUFF26dEGXLl3wE4CQkBAcP34cR48ew5Fjx/D64nbIDAxh4FwDBk5VoBUCqwGMjE+FYUIqlAoZlHIpFDL2GiMiIvovhup8Wr58OSpWrIipU6dmu15qaipSU1N1X8fFxQEAVCoVVKrsJ+UoCG+OURTHouIlMjENIdHJiIhPRVhCKiLi0/7+MxVhCR6IqOUCK/cBUL56juSAG0gJuInYi9sBITDPzh2rfw8EEKjbn0wqgVIuhVIuhYFcCnszJTxsTeBhZwIPO1N42JnAxdqI4bsMYjtDecVrpuioVCoIIaDVaotlf+TcenO3+c25FAStVgshBFQqFWSyjKOS5OXalIjCvhdeRkgkEjx//vytfapnz56Nr776KtPyzZs3w9jYuJCro7JCowVeJgHP4yUISJAgIF6CyNTcP2FtLBcwlgPqtFTEBt6HBjIYuNaGWuR+HwAgkwjYGgIORgKORul/OhgJ2BsByryNokRERAVALpfD0dERLi4uRTK8XEmSlpaG4OBghIaGZhr5KikpCX5+foiNjc1xNBGG6gKSU6jO6k61i4sLIiIiimTIF5VKhWPHjqFdu3ZQKBSFfjwqGhEJqbgZHIsbwTG4ERyLOy9ikaLK+MldIgHszZSwN1PCzlQJOzMl7EwNYPf3MltTA9ibKWFjqoRS/s/d5X9fMzKZHCqNFilqLVLVWqSqNUhVaZGi0uJFTDKehifiWUSi7s+kNE2W9cqkEtR1tkDzSrZoUdkW1RzNIJXmLbBT8cV2hvKK10zRSU1NRVBQENzc3GBkZKTvct6ZEALx8fEwMzPL07B82UlOTkZgYCBcXV2hVCozvBcXFwdbW9tchWp2/ygiSqUy0z8UACgUiiJtSIr6eFSwElPVOP7gNU48DMO1oGgERyVnWsfcUI56rlao72qFeq6WqOtqCXPDd/83f3PNKAGYZvF+vf98rdUKvIpLwZOwBN3raVgCnoQnICoxDdeCYnAtKAY//vkEtqZKtKhshxZV7NC8ki0sjXn3pDRgO0N5xWum8EmlUkgkEqSkpMDExETf5byzN10+JBIJpNKC6WaYkpICiUQCIyOjTN0/8nJdMlQTFXMpKg1OPQrHvlsv8eeD1xnuREskQCV7U9T/O0TXd7NERVtTvd79lUolKG9phPKWRmhR2S7DeyHRSTj1KBwn/cNx/kkEIhJSsfN6CHZeD4FUAtR1sUTLKvZoUdkOtcpb8C42EVEBkclksLS0RFhYGADA2Ni4wO70FiWtVou0tDSkpKTkO1QLIZCUlISwsDBYWlpmCtR5xVBNVAypNFqcfxqJfTdf4ui9UMSn/tPHy93GGF1qO8Gnog3quOTvLnRRc7YyxkBvNwz0dkOaWourAVE4+Sgcp/zD4f86HteDYnA9KAY/HHsEGxMDtK/hCD8vV9RyttB36UREJZ6joyMA6IJ1SSSEQHJyMoyMjArsQ4GlpaXue5MfDNVExYRWK3AlIAr7b7/EH3dCEZWYpnvPycIQ3eqUQ7fa5VCzvHmJvLvwXwZyKRp72qKxpy0+71wNL2OS/76LHYZzTyIRmZiGLZeDsOVyEGo7W8DPyxXd65aDsQGbLSKidyGRSODk5AR7e/sSO+KKSqXC6dOn0bx58wLpMqRQKPJ9h/oN/nQqIHzek97Vy5hkrDsfgL03XyI0LkW33MbEAJ1rOaF73XJo4GpV6rtClLM0wgAvVwzwcoVKo8Xl51H4/WowDt0Jxe2QWNwOuYOvDz5Aj3rl4eftimpOhf+ALxFRaSSTyQosSBY1mUwGtVoNQ0PDYtcPn6GaSE/8Q+Ox7PRT7Lv5Empt+ocyM0M5OtZwRPe65eBb0QbyMjrWs0ImRRNPWzTxtMWsrqnYcS0EWy4HISAyCRsuBmLDxUDUd7XEQG83dKntBENFyfzhQEREpQdDNVEREkLg0vMoLDv1FCf8w3XLG3vYYGhjd7SsYgelnAHx32xMlRjbwgOjm1XE+aeR2Hw5EEfvvdb1v55z4D561XeGn7crPO2zGp+EiIio8DFUExUBjVbg2P1QLD31DDeDYwAAUgnQqaYTxjSviDoulnqtrySQSiVoWskWTSvZIiw+BduvhmDzpSC8iEnG6nPPsfrcc3Sq6YiP2lVGJQczfZdLRERlDEM1USFKUWmw+8YLrDj9DM8iEgGkP6DXp4EzRjerCHfbkjtWqD7ZmxliYitPjGvhgdOPwrHpUiD+fBiGQ3dDcfheKHrULY+pbSvBzYbfXyIiKhoM1USFID5FhQ0XA7HmXADC49Nn0rQwUmCIrxuG+LrDzizzRECUdzKpBK2q2qNVVXv4h8bjh2P+OHLvNXbfeIH9t16iT0MXTG7tiXKWJXf2MCIiKhkYqokKkEYr8PvVYPzvqD8iEtKHxCtnYYiRzSqifyMXmCj5X66wVHE0w7LBDXE7JAb/O/oIpx6FY8vlIOy8HoKB3q6Y0NKTH2aIiKjQ8Cc8UQE5/zQCc/bfx8PQeABARVsTTGrtiW51ykFRRkfx0IfazpZYN8ILVwKisPCIPy49j8KacwHYejkYw5q4Y2zzipwOnYiIChxDNVE+BUYm4ps/HuDIvdcAAHNDOaa2rYzBvm4M03rUyN0aW8f44OyTCCw8+gi3gmPw28mn2HghEKOaVcSIpu4wK0GzURIRUfHGUE30juJTVFh04gnWnA1AmkYLmVSCgd6u+LBtZViZ8E5ocSCRSNCskh2aetri+IMw/O+oPx6GxuPH44+w8VIgZnWtjq61nUrFDJVERKRfDNVEeZRVv+lmlWwxs2t1VOZQbsWSRCJBu+oOaFPVHgfvvML/jvojIDIJk7fcwI5rIZj7Xk242hjru0wiIirBGKqJ8uDC00jMOXAfD17FAUjvN/1F12poVcWedztLAKlUgm51yqF9DQf8dvIplpx4ilOPwtHux1OY0rYSRjeryC47RET0ThiqiXIhLC4FX+67h0N3QwGw33RJp5TLMLVtZXSrUw5f7L6LC88i8d1hf+y58QLfvF8LDd2t9V0iERGVMAzVRNkQQmDvzZf4ct89xCar2G+6lPGwM8Xm0d7YfeMF5h18gEevE9B76QUM8HLBZx2rwcKYDzISEVHuMFQTvUV4fCpm7L6Do/fTR/WoVd4C3/epjaqO5nqujAqSRCJBz/rOaFXFHgsOPcS2q8HYcjkYx+6/xsyu1dG9Tjl27SEiohzx99ZEWdh/6yXa/3gKR++/hkImwcftK2PXhMYM1KWYlYkBvu1dG7+P9YWnvSkiEtIwZetNDF51GQF/TzFPRET0NgzVRP8SmZCKiZuuY/KWG4hOUqG6kzn2TWqKSa0rse90GeFVwRp/fNAM0zpUgVIuxdknEWj/02msPvscQgh9l0dERMUUUwLR3w7deYX2P57GwTuvIJdKMKVNJeyZ2ATVnHh3uqwxkEsxsZUnjn7YHM0q2SJNrcWcA/cxfO0VhMen6rs8IiIqhhiqqcyLTkzDB1tuYPym64hMTENVRzPsmdgEH7arDAM5/4uUZW42Jlg/wgtz36sBpVyKk/7h6PTzaZzwD9N3aUREVMwwMVCZdvReKNr9eBr7br2ETCrBpFae2DupCWqWt9B3aVRMSCQSDPZ1x/7JTVHV0QwRCWkYvuYKvtp/Dykqjb7LIyKiYoKhmsqk5DQNPt1xG2M2XENEQioq2Zti1/jG+LhDFSjlMn2XR8VQZYf032AMa+wOAFhzLgA9Fp/D49fx+i2MiIiKBYZqKnOehSfg/SXnsO1qMKQSYFwLD+yf3BR1XCz1XRoVc4YKGWZ3r4HVwxrCxsQAD0Pj0fXXs9h4MZAPMRIRlXEM1VSmHLz9Ct0XncPD0HjYmhpg40hvfNapKgwVvDtNude6qgMOTW2G5pXtkKrW4os9dzFmwzVEJabpuzQiItIThmoqE9LUWszedw8TN19HQqoaXhWscfCDZmjsaavv0qiEsjczxNphjTCza3UYyKQ4dv81Ov50GueeROi7NCIi0gOGair1QqKT0GfZBaw9HwAAGN/SA5tHecPB3FC/hVGJJ5VKMLJpBeye2BgediYIi0/FoFWX8O3hh9Bo2R2EiKgsYaimUu2vh6/R5ZezuBUcAwsjBVYNbYhPO1aFnBO5UAGqUc4CByY3g5+3K4QAfjv5FMPWXEZMEruDEBGVFUwWVCqpNVp8e/ghRqy9ithkFeo4W+DA5KZoU81B36VRKWVkIMM379fCIr96MFLIcOZxBLotOosHr+L0XRoRERUBhmoqdcLiUjBw5SX8dvIpAGBYY3dsH9cYLtbGeq6MyoKutcth14TGcLE2QnBUMnouOY8Dt1/quywiIipkDNVUqpx/EoHOv5zBpedRMDGQYZFfPczuXoMzI1KRquZkjv2TmqJZJVskqzSYtPkG5h96wH7WRESlGJMGlQpCCKw59xyDVl1CREL6VOP7JzdF19rl9F0alVGWxgZYO9wLY1tUBAAsO/WM/ayJiEoxhmoq8VQaLWbsuYuv9t+HVgC96jtj94QmqGhnqu/SqIyTSSWY3qkafh3wTz/r9HHS2c+aiKi0YaimEi0mKQ1DV1/G5ktBkEiAzztXxcI+tWFkwMlcqPjoVqccdo5vDGcrIwRFJeH9xexnTURU2jBUU4mVPt34eZx/GgkTAxlWDG6IMc09IJFI9F0aUSbVy6X3s27q+U8/6wWHOJ41EVFpwVBNJdK5JxHosfgcnkckorylEXaMb4y21TlcHhVvViYGWDu8EcY2T+9nvfTUUwxfewWxSSo9V0ZERPnFUE0lzsaLgRiy+jLiUtSo72qJPROboJqTub7LIsoVuUyK6Z2r4ZcB9WCokOL0o3D0WnoewVFJ+i6NiIjygaGaSgy1RovZ++7hiz13odEK9KhbDptH+8DOTKnv0ojyrPvf/awdzQ3xJCy9K9PtkBh9l0VERO+IoZpKhLgUFUasu4q15wMAANM6VMGP/erCUMEHEqnkqlHOArsnNkZVRzNEJKSi37KL+PPBa32XRURE74Chmoq9wMhE9FxyHqcfhcNIIcPSQfUxsZUnH0ikUsHJwgjbx/nqJooZvf4qNlwI0HdZRESURwzVVKxdfh6FHovP4UlYAhzNDbF9nC861nTSd1lEBcrMUIHVwxqhb0NnaAUwc+89fPPHA2g5MggRUYnBUE3F1uG7rzBo1SVEJ6lQ29kCeyc1Qc3yFvoui6hQKGRSfNurNj5uXxkAsPz0M0zach0pKo2eKyMiotxgqKZiacPFQIzfdB1pai3aVXfAtjG+cDA31HdZRIVKIpFgUutK+KlfXShkEvxxJxR+Ky4iMiFV36UREVEOGKqpWBFC4Iej/pi55y6EAAZ4ueK3gfU5QyKVKT3qlcf6Ed4wN5TjelAMev12Hs8jEvVdFhERZYOhmooNtUaL6bvu4Je/ngAAprathG/erwm5jJcplT2+HjbYNSF9avOAyCT0XHIO1wKj9F0WERG9BdMKFQvJaRqM23gdW68EQyoBvn6/Jqa2rcwRPqhM87Q3w64JjVHb2QLRSSoMWHEJf9x5pe+yiIgoCwzVpHcxSWkYtOoSjj94DQO5FL8NaoCB3m76LouoWLA3M8TWMT5oW80eaWotJm6+jk2XAvVdFhER/QdDNenVi5hk9F56AdcCo2FuKMemUd7oUMNR32URFSvGBnIsG9wQft6uEAKYsfsuFp94AiE45B4RUXHBUE164x8aj15LzuNJWAKcLAyxY3xjNHK31ndZRMWSTCrB1z1qYlIrTwDA90f88c0fDxisiYiKCYZq0ovLz6PQZ+l5hMalwNPeFDvHN0ZlBzN9l0VUrEkkEnzcoQq+6FINALDizHN8suM21BqtnisjIiKGaipyh++GYtCqS4hLUaOBmxV2jPNFOUsjfZdFVGKMalYR3/WuDakE2H4tBBM2cZIYIiJ9Y6imIvX71WBM2HQNaWot2lZzwKZR3rA0NtB3WUQlTt+GLvhtUAMYyKQ4ev81Rqy9goRUtb7LIiIqsxiqqcisPZf+q2qtAPo1dMHSQfVhqOCkLkTvqkMNR6wd0QgmBjKcfxoJvxUXEZWYpu+yiIjKJIZqKhKLTzzB7P33AQCjmlbAgl61OKkLUQFo7GGLLWN8YGWswO2QWPRZeh4vY5L1XRYRUZnDVEOFSgiBbw8/xPdH/AEAU9pUwowu1TipC1EBqu1sie3jfOFkYYin4Ynos/QCnoUn6LssIqIyhaGaCo1WK/Dlvnv47eRTAMCMztXwYTvOkkhUGDztzbBjfGNUtDXBi5hk9Fl6AXdfxOq7LCKiMoOhmgqFWqPFtB23sf5CICR/Tzs+unlFfZdFVKqVtzTC7+N8UbO8OSIT09B/+UVcfh6l77KIiMoEhmoqcGlqLSZvuYGd10Mgk0rwQ986nHacqIjYmiqxZbQPvCtYIyFVjaGrL+Pckwh9l0VEVOoxVFOBSlFpMGbDVRy6GwoDmRSL/erj/XrO+i6LqEwxM1Rg3QgvtKhsh2SVBsPXXsEJ/zB9l0VEVKoxVFOBeXNX7KR/OAwVUqwc2hAdazrquyyiMslQIcPyIQ3QrroD0tRajFl/FUfuheq7LCKiUouhmgpETFIaBq68hEvPo2CmlGPDSG80r2yn77KIyjSlXIYlA+ujSy0nqDQCEzZdx/5bL/VdFhFRqSTXdwFU8oXHp2Lwqkt4GBoPK2MF1o/wRi1nC32XRUQAFDIpfu5fF0q5FLtuvMCUrTeQqtaidwN2yyIiKkgM1ZQvr+NSMGDFRTwLT4SdmRKbRnmjsoOZvssion+Ry6RY2KcODORSbL0SjI+330KaWgs/b1d9l0ZEVGqw+we9s5cxyei37AKehSeivKURto/1ZaAmKqakUgm+eb8Whvqmj8Tz+e47WHPuuZ6rIiIqPRiq6Z2ERCeh3/ILCIhMgrOVEbaO8YG7rYm+yyKibEilEszuXgNj/x4z/qv993WTMxERUf4wVFOeBUUmod+yiwiOSoabjTG2jfWFi7WxvssiolyQSCT4rFNVfNCmEgDg28MP8dPxRxBC6LkyIqKSjaGa8iQgIhH9ll/Ai5hkVLA1wbYxvihvaaTvsogoDyQSCT5qVxnTOlQBAPx0/DG+O+LPYE1ElA8M1ZRrz8IT0G/5BbyKTYGHnQm2jfGBo4Whvssionc0sZUnvuhSDQDw28mnmHvgAYM1EdE7YqimXHkSFo9+yy/idVwqKjuYYusYX9ibM1ATlXSjmlXE3B41AQCrzz3HV/vvM1gTEb0DhmrKkX9oPPovv4jw+FRUdTTDltE+sDNT6rssIiogg33c8G2vWpBIgLXnAzBr7z0GayKiPOI41ZSt+y/jMGjVJUQlpqFGOXNsHOkNKxMDfZdFRAWsXyNXSCDBp7tuY8PFQAgIzOleE1KpRN+lERGVCAzV9FZ3X8Ri0KpLiElSobazBTaM8IaFsULfZRFRIenbyAUSCfDJztvYeDEIWgHMe4/BmogoN0pF9481a9YgODg423U2btyIp085Hmtu3QqOgd+Ki4hJUqGuiyU2jGSgJioL+jR0wcLedSCRAJsvBWHGnjvQatkVhIgoJyU+VP/5559YvHgxrK2ts13P2dkZvXv3RlJSUhFVVnLdCIrGoJWXEJeiRkM3K2wY6QULIwZqorKiVwNn/NC3DqQSYMvlYEzfxWBNRJQTvYfqkydPwt3d/Z22TU1NxQcffIBt27bBxCT72fxatmyJnj174rvvvnunY5UV14OiMWTVZcSnquFVwRrrRnjBzJCBmqiseb+eM37sVxdSCbDtajA+2XkbGgZrIqK30nuobtq0KW7fvv1O227cuBHt27eHh4dHrtafNm0aNm3ahMTExHc6Xol19y5kvr7oNHAgpJ99Brzlqf7/Buq1wxvBRMlu90Rl1Xt1y+On/vUglQA7roXgkx3ZBOtctjNERO+smLcz+Q7VPXr0gKWlZabXokWLcrW9XC6Hubn5Ox17165dGDRoUK7XNzQ0RIcOHXD48OF3Ol6JlJoKdOsGUb8+Ti1cCMmDB8DatZlWexOoE1LV8P47UBsbMFATlXXd65TDLwPqQSaVYOf1EEzbfitzsM5lO0NE9M5KQDuT61C9YcMG1KxZU/d1QkICDA0N8eGHH+LmzZuZXkOGDAEAHD16FNWqVYOxsTGaNGmS6WHBrLp/rF27Fi1btsSKFSvg4OAAe3t77NixI1NNDx48QP369XVf37p1CyYmJggMDAQAjBgxAn5+fhm28fHxwa1bt3J72iXfoUNAbCy033+PJCcnaObMAVatyrDKtcB/ArVPRWusYaAmon/pWrscfv07WO+68QL/9/vNjME6F+0MEVG+lIB2Jteh+r333sOTJ0/g7+8PADh06BCqVq2KFi1awN3dPdPrzd3nIUOGYOTIkXj06BFq1qyJL774IlfHu3fvHnbu3ImzZ89i2LBh+OijjzKto9VqIZH8M9RTnTp1MHLkSMyaNQv37t3D7t27sXDhwgzb2NnZISwsLLenXfLdugX4+ADGxulf164N3L+ve/taYBSGrk4P1L4VbbB6GAM1EWXWuZYTFg2oB7lUgj03X+LDbTeh1mjT38yhnSEiyrcS0M7kOlSbm5ujY8eO2LlzJwBgz5496NevX47bGRkZITU1FRYWFli6dCk2btyYq+MlJCRg3bp1qFSpEkaNGpXjkHlvzJ07F8eOHcPQoUPxxRdfoFy5chnej4+Ph6mpaa72VSrExQEVKvzztUQCyGRAdPTfgfqKLlCvGtaQgZqI3qpTLScs8qsPuVSCfbde4sPfb6UH62zaGSKiAlEC2pk89anu27cvdu3aBZVKhT/++AN9+/bNsU/1li1bcPLkSTg5OaFp06a4fv16ro5VrVo1ODg4AAAMDLKewc/a2hrh4eEZlllYWKBv3764desWRo4cmWmbZ8+ewc3NLS+nXbLJ5YDyP1OKGxri9qMXui4fvENNRLnVsaYjlgysD4VMgv1/B2utVJZlOwMOYUpEBeUteaY4tTN5CtXdu3fH/fv3sWbNGnh6esLDwwPLli17a5/qxMREJCYm4tixY4iKikKzZs0wYsSIXB0rNw8vduzYEfv27cuwLCgoCOvXr0fTpk0xd+7cTNvs378fnTt3zt0JlwbW1sB/PnioY+Mw4fe7SEzToLFHeqA2MpDpqUAiKmna13DEYr9/gvX+kFRo/9utLj4eeMsNESKiPMsizxS3diZPodrU1BSdOnXCJ598ouv64eDg8NY+1VqtFl26dMHGjRsREREBqVQKrVZbYMWPGDECP//8M1QqlW7ZxIkTMWrUKGzYsAErV67EzZs3de+dPHkSRkZGuR6CLzfu3r2LRo0awcrKCtOmTYMoZsO7oFEj4OJF3Zd3zt2COjkFL2XGaOJpg1VDGaiJKO/+Hay3wgERx0//08c6ICD9Sf0cJuUiIsq1/+SZ4tjO5HlIvX79+iEuLg59+/bNcV0zMzNs3LgRX3/9NTw8PLB//3789ttv71RoVjw9PdG1a1d8/vnnAIAdO3bgypUr+OKLL+Ds7IxPPvkEY8eOhVarRXR0NCZPnowffvihwI6fmpqKbt26oUGDBrh69Sru37+PtcVseBc0bw7ExkKyYQOexgGP/+9LnHWrA9/K9lg5hIGaiN7dm2B9w70WpPFx+H3qAmgEIP3+e6Bt2/T+jkREBeFfeQYonu2MROTh1uqzZ89w5swZrFixAmfPni3MunJNrVajS5cu+Pnnn1G1atW3rvf555+jUqVKGD58eIEde8+ePRgxYgRCQkJgbGyMW7duYeLEiVl+b1JTU5Gamqr7Oi4uDi4uLoiIiHjncbpzS7J3LySDByNaagip0GL+p0sw8+NeDNSULZVKhWPHjqFdu3ZQKDirJr3d8Qdh2DdnKX7Y+z1SDQ1hbiCD5s8/gRo19F0aFXNsZyhP9uwBBg1BslIJMwM51MePF3o7ExcXB1tbW8TGxuaY1/IUqmvXro2wsDBs374dzZo1y3ehBUWj0UCWwyeV3KyTV1999RUuXbqEP/74AwAghICNjQ2ioqIyrTt79mx89dVXmZZv3rwZxm+GhykkGi2w/HQMXIKeIKZqFfRtYAbmaSIqSHeiJPjjWjRqvHqCtJpV8F49M8gkOW9HRJQbQgB7AqV48CgKtUOfwLttJdiVsyj04yYlJcHPzy9XoTpPwz2863TihS03YbmgAzWQ/umlwr+Gd5FIJJDJZIiOjoaVlVWGdadPn55hrO03d6rbt29f6HeqAaBC3WjM3XEJK8e0hJmxYaEfj0o+3kGivOgMoG7dV5jyuw00qRKYJjhiYe+akMvyPXEvlWJsZyg3hBCYf/gRTr4KBMxsYVXHCn6D2hbJNRMXF5frdTmGWj7I5XIo/zO8i6GhIZKSkjKFaqVSmWldAFAoFEVyUdR0tsLQylqYGRuy4aI8KaprlEq+DjWdMPzmTax7IsfBu6GAVIKf+9VlsKYcsZ2htxFCYN7BB1hzPn227Dndq8Ei/E6RXTN5OQZbunzIapzs+Pj4t46rTURU2tWyFvi1Xx0oZBIcvP0KU/498yIRUR4IITD3wAOsOvscAPDN+7UwoJGLnqt6O4bqfGjUqBEu/mt4l4CAAKSmpsK6GA3vQkRU1NpUs8eSgQ0YrInonQkhMOfAfaw+90+g9vN21XNV2WOozofmzZsjNjYW69evBwAsWLAAbdu2LZT+20REJUm76g6ZgrWKwZqIcuFNoF5zLgAAML9n8Q/UAEN1vsjlcixfvhzjxo2Dg4MDduzYgQULFui7LCKiYqFddQf89u9gvfUGgzURZUsIga/2/xOoF/SshQFexT9QAwzV+dajRw88fvwYy5cvx4MHD1CD47ISEem0re6ApYMawEAmxR93QjF5M4M1EWXtTaBeez4AQHqg7l9CAjXAUF0gypcvj/feew92dnb6LoWIqNhpU80BSwfXh4FMisP3QjFx03WkqRmsiegf/w7UEgnwba+SFagBhmoiIioCras6YNmQBjCQS3H0/mtMYLAmor8JITB7371/AnXP2ujXqGQFaoChmoiIikirKvZYMaQhDORSHH/wGhM2XUOqWqPvsohIj4QQ+HLfPay7EKgL1H2L8bB52WGoJiKiItOish1WDmkIpVyK4w/CMH7jdQZrojJKqxWYufcu1r8J1L1KbqAGGKqJiKiINa9sh1VDG8FQIcVfD8MwdsM1pKgYrInKEq1W4PPdd7DxYtA/gbphyQ3UAEM1ERHpQdNKtlj9d7A+6R+OMQzWRGWGRivwyc7b2HolGFIJ8L8+dUp8oAYYqomISE8ae9pizTAvGClkOP0oHKPXX2WwJirlNFqBadtvYce1EMikEvzYry561nfWd1kFgqGaiIj0xtfDBmuHN4KxgQxnHkdg1LqrSE5jsCYqjdQaLaZuu4ldN15ALpXgl/718F7d8vouq8AwVBMRkV55V7TB2uFeMDaQ4eyTCIxcd4XBmqiUUWm0+GDrDey/9RIKmQSL/OqjS20nfZdVoBiqiYhI77wqWGP9CC+YGMhw/mkkhq65jIRUtb7LIqICkKbWYtLm6/jjTigMZFL8NrABOtZ01HdZBY6hmoiIioWG7tZYP9IbZko5Lj+PwpBVlxCXotJ3WUSUD6lqDSZsuoYj917DQC7FsiEN0La6g77LKhQM1UREVGw0cLPCptHesDBS4HpQDAauuIToxDR9l0VE7yBFpcHYDddw/EEYlHIpVg5piFZV7PVdVqFhqCYiomKltrMltoz2gY2JAe68iMWAFRcRkZCq77KIKA+S0zQYvf4qTvqHw0ghw5phjdC8sp2+yypUDNVERFTsVC9njq1jfGBvpsTD0Hj0W3YBr+NS9F0WEeVCUpoaI9ZewZnHETA2kGHt8EZo7Gmr77IKHUM1EREVS5UczLBtrC+cLAzxNDwR/ZZdwIuYZH2XRUTZiE9RYdiaK7jwLBKmSjnWj/CCd0UbfZdVJBiqiYio2Kpga4Lfx/rCxdoIAZFJ6Lv0AoIik/RdFhFlISYpDYNWXsLl51EwU8qxfqQXGrpb67usIsNQTURExZqLtTF+H+uLCrYmeBGTjL7LLuBpeIK+yyKifwmLT0G/ZRdxKyQWVsYKbB7tg/quVvouq0gxVBMRUbHnZGGEbWN8UMneFKFx6T+8H72O13dZRATgRUwy+i27CP/X8bA3U2LbWF/UcrbQd1lFjqGaiIhKBHtzQ2wd44PqTuaISEhF/+UXce9lrL7LIirTnkckou/SC3gekYjylkbYPs4XlR3M9F2WXjBUExFRiWFjqsTm0d6o42yBqMQ0DFh+ETeDY/RdFlGZ9DA0Dn2Wpj9AXNHOBDvG+8LNxkTfZekNQzUREZUolsYG2DDKGw3crBCXosbAFRdx/mmEvssiKlNuBceg//L0MeSrOZnj97G+cLIw0ndZesVQTUREJY65oQLrR3ihsYcNEtM0GLbmCo7cC9V3WURlwqVnkRi48hJiklSo62KJraN9YGuq1HdZesdQTUREJZKJUo7VwxqhQw0HpKm1GL/xGrZfDdZ3WUSl2kn/MAxdcxkJqWr4VLTGxlHesDBW6LusYoGhmoiISixDhQyL/eqjb0NnaAUwbcdtrDzzTN9lEZVKh+68wuj1V5Gi0qJVFTusHe4FU6Vc32UVGwzVRERUosllUnzbqzbGNK8IAJh38AG+P/IQQgg9V0ZUeuy8FoKJm69DpRHoUssJywY3hKFCpu+yihWGaiIiKvEkEgmmd6qKTzpWAQAsPvEUM/bchUbLYE2UX+vOB+D/tt+CVgB9GjjjlwH1YCBnhPwvfkeIiKhUkEgkmNDSE9+8XwsSCbD5UhCmbL2BNLVW36URlUhCCHx/5CG+3HcPADCssTu+7VUbMqlEz5UVT+wIQ0REpYqftyvMjeT4cNtNHLj9CnEpaiwdVB/GBvyRR5Rbao0W03fdwfZrIQCA/2tXGZNae0IiYaB+G96pJiKiUqdr7XJYObQRjBQynH4UjkErLyEmKU3fZRGVCMlpGozZcA3br4VAKgEW9KyFyW0qMVDngKGaiIhKpRaV7dKH+zJS4HpQDPotu4iwuBR9l0VUrEUlpsFv5UX89TAMSrkUywY3RH8vV32XVSIwVBMRUanVwM0Kv4/1hb2ZEv6v49Fr6XkERCTquyyiYikkOgm9l57HjaAYWBgpsHm0N9pVd9B3WSUGQzUREZVqVRzNsGNcY7haGyM4KhnvLzmHa4FR+i6LqFh58CoOPZecx7PwRJSzMMTO8b5o4Gat77JKFIZqIiIq9VxtjLFjvC9qlbdAdJIKA1ZcwqE7r/RdFlGxcPFZJPouu4Cw+FRUcTDDzgmN4Wlvpu+yShyGaiIiKhPszQyxbawP2lazR5paiwmbr2PlmWecJIbKtEN3XmHI6suIT1HDy90av4/1hZOFkb7LKpEYqomIqMwwNpBj2eCGGOLrBiHSZ1+cve8eJ4mhMmnDhQBM2HwdaWotOtRwwPqRXrAwVui7rBKLoZqIiMoUmVSCr7rXwIzO1QAA6y4EYuyGa0hKU+u5MqKiIYTAwiP+mLn3HoQABnq7YsnABpx2PJ8YqomIqMyRSCQY3bwiFvvVh4FciuMPXqP/8osIi+eQe1S6pag0mLTlBhadeAIA+KhdZczrUZOzJBYAhmoiIiqzutR2wuZR3rAyVuB2SCx6LjmPJ2Hx+i6LqFCExaWg37ILOHj7FRQyCb7rVRsfcFKXAsNQTUREZVpDd2vsmtAEbjbGCIlORs8l53HxWaS+yyIqUHdfxKL7onO4FRILK2MFNoz0Rt9GLvouq1RhqCYiojKvgq0Jdo1vjPqulohLUWPwqkvYc+OFvssiKhCH775Cn6UXEBqXAk97U+yZ2AQ+FW30XVapw1BNREQEwMZUic2jfdCppiNUGoGp227i1z8fc8g9KrGEEFh84gnGbbyOZJUGzSvbYdeExnCzMdF3aaUSQzUREdHfDBUyLParj9HNKgAA/nfsESZuvo7EVI4MQiVLikqDj36/he+P+AMAhjV2x+qhDWFuyCHzCotc3wUQEREVJ1KpBDO6VEcFW1N8ue8u/rgTiqdhiVg2uAHcbXmHj4q/iIRUjN1wDdcCo3VDSA7ycdN3WaUe71QTERFlwc/bFVvH+MDOTAn/1/HovugsTvqH6bssomw9DI3De4vO4VpgNMwN5Vg/wouBuogwVBMREb1FAzdrHJjcFPX+foBx+NorWHLyCftZU7H054PX6LXkPF7EJKOCrQl2T2yCJp62+i6rzGCoJiIiyoaDuSG2jvFB/0YuEAL47rA/Jm2+wX7WVGxotekPJI5afxWJaRo09rDB7gmN4WFnqu/SyhSGaiIiohwo5TIs6FUbX79fEwqZBAfvvEKv384jMDJR36VRGRedmIaR667g+yP+ECK929K6EV6wNDbQd2llDkM1ERFRLg30dsOW0en9rB+GxqP7onM49Shc32VRGXUjKBpdfz2LE/7hUMql+K5XbXzdoyYUMsY7feB3nYiIKA8aultj/6SmqOtiidhkFYavuYylp56ynzUVGSEE1px7jr7LLuBFTDLcbYyxe0IT9G3kwinH9YihmoiIKI8cLQyxbWx6P2utABYceohJW9jPmgpffIoKEzdfx1f770OlEehcyxH7JzdF9XLm+i6tzOM41URERO9AKZdhfs9aqFneAl/tv4eDt1/h/ss4/Ny/Lmo7W+q7PCqF7r+Mw4RN1xAQmQSFTILPO1fDsMbuvDtdTPBONRER0TuSSCQY5JPez7qchSGeRySi55LzWHrqKbRadgehgiGEwLYrQXh/yTkERCahnIUhfh/ri+FNKjBQFyMM1URERPnU0N0ah6Y0R+dajlBrBRYceohBqy4hNDZF36VRCZeUpsbH22/j0513kKrWolUVOxz8oBnquVrpuzT6D4ZqIiKiAmBhrMBiv/r4rldtGClkOP80Eh1/Po0j90L1XRqVUE/CEtBj8TnsvB4CqQSY1qEKVg1tBCsTDpdXHDFUExERFRCJRIK+jVxw4IOmqFneHDFJKozdcA2f776D5DSNvsujEkKrFVh/IQDdfj2LR68TYGuqxKZRPpjYyhNSKbt7FFcM1URERAXMw84Uu8Y3wdjmFQEAmy8FoeuvZ3DvZayeK6PiLjgqCQNXXsKsvfeQrEqfHfGPKU3h62Gj79IoBwzVREREhcBALsX0ztWwcaQ37M2UeBqeiPcXn8fKM8/4ECNlIoTApkuB6PjTaVx4FgkjhQxfda/x9/VjqO/yKBcYqomIiApR00q2ODy1OdpWc0CaRot5Bx9g2NorCIvnQ4yU7kVMMoasvowZu+8iMU2DRu5WODSlGYY2dmd3jxKEoZqIiKiQWZsYYMWQBpjboyaUcilOPwpH+x9P4/crwZyJsQx7M1Rehx9P48zjCCjlUszsWh3bxvjC3dZE3+VRHnHyFyIioiIgkUgw2McN3hWsMWXrTTx4FYdPdt7Gjush+Ob9mvC0N9N3iVSEXsUm47Odd3DqUTgAoL6rJRb2qYOKdqZ6rozeFe9UExERFaHKDmbYN6kJPu9cFUYKGS4/j0Knn89g4RF/pKg4QkhpJ4TAjmshaP/jaZx6FA4DuRSfd66K7eMaM1CXcAzVRERERUwhk2JMcw8c+6g5Wle1h0ojsOjEE3T46TTOPA7Xd3lUSF7FJmP0+qv4ePstxKeoUcfFEn980AxjmntAxr7TJR67fxAREemJs5UxVg1tiMN3QzF7/z0ERiZh8KrLeK9uOXzRpTrszJT6LpEKQHKaBstOP8XSU0+RotLCQCbFh+0qY3SzCpDLeH+ztGCoJiIi0iOJRIJOtZzQtJIt/nf0EdZdCMDemy9x4mEYPutUDf0buXAEiBJKCIF9t15iwaGHePX3lPWN3K0wr0ctVHFkH/rShqGaiIioGDAzVGB29xp4v155fL77Du69jMPnu+9g5/UQfPM+Q1hJcyMoGnMO3MeNoBgAQHlLI3zeuRo613KERMIPSaURQzUREVExUsfFEnsnNsHa8wH44dgjXAuMRpdfzqBfIxdMbl0JjhacCKQ4exWbjO8O+2P3jRcAAGMDGSa28sTIphVgqJDpuToqTAzVRERExYxcJsWoZhXRuZYTZu+7h6P3X2PTpSDsuBaCwT5uGN/SAzam7G9dnCSnabD89DMsPfUUyX+P4tK7gTM+6VAF9ub8IFQWMFQTEREVU+UsjbB8SENcfBaJhUf8cTUwGivPPsfmy0EY0aQCRjevCAsjhb7LLNPe9Jv+9tBDvPxXv+lZXWuglrOFnqujosRQTUREVMz5VLTB9nG+OPUoHP87+gh3XsRi0YknWH8hAGOaV8TwJhVgouSP9KKk1Qoce/AaS04+xa3gGADsN13W8X8gERFRCSCRSNCyij1aVLbDkXuv8cMxfzx6nYCFRx9hzbkAjG/pgUE+buy3W8hS1Rrsvv4Cy888w7PwRADsN03pGKqJiIhKEIlEgo41HdGuugMO3H6JH489QkBkEuYdfICVZ55jUmtP9G3oAgM5xz8uSHEpKmy6GITV554jPD4VAGBuKMdgXzcMa1yBY4oTQzUREVFJJJNK8F7d8uhcywm7rofglz+f4EVMMr7YcxeL/nqCfo1c0N/LBU4WRvouNWeRkYCvL3DiBODuru9qMgiNTcGac8+x6VIQElLVAAAnC0OMbFoB/b1cYcpuN/Q3XglEREQlmEImRb9GruhRrzy2Xg7GohNPEBqXgp//fIxf/3qM1lUdMNDHFc0r2RXLqbAN4uIg69EDCAjQdykZPH4dj+Wnn2HPzRdQaQQAoLKDKcY290C3OuX4mwDKhKGaiIioFFDKZRja2B39vVxw+G4oNl8KwqXnUTj+4DWOP3iN8pZG8PN2RZ+GzrA3Kz5DvDVcuBBi6FDg0iV9l4I0tRZnHodjy+UgHH8QplvuVcEa41pURMvK9pzdkt6KoZqIiKgUUcpleK9uebxXtzyehMVj86Vg7LgWjBcxyfj+iD9+PPYI7Ws4YKC3G3wr2ug9JN6cMAEtR4yA7P/+Ty/H12gFLj6LxP5bL3Hobihik1UAAIkEaF/dAWNbeKC+q5VeaqOShaGaiIiolPK0N8OsbtXxSccqOHj7FTZdCsT1oBj8cScUf9wJhbuNMQZ4uaJDDUe425oUXiE9egAnT2ZaLP3qKyTpoQ+1EALXg6Kx/9YrHLj9ChEJqbr37MyU6FLLCYN93eBhZ1rktVHJxVBNRERUyhkqZOjVwBm9Gjjjwas4bL4UhN03XiAgMgnzDz3E/EMP4W5jnD5kXxU7+Fa0Kdih4ZYtA5KTMy3WmpkBZ88W3HGyIYTA/Vdx2HfrJQ7ceoUXMf/UY2msQKeajuhWpxy8K9gUy77nVPwxVBMREZUh1ZzMMbdHTXzWqSr233qJPTdf4GpANAIik7D2fADWng+AUi6Fd0UbtKxsh5ZV7FDB1iR/k5k4OGS9XKV6933mQlRiGm4EReNqYDSO3AvVjSsNACYGMrSv4YjudcqhiactHzykfGOozqfIyEg0bNgQJ06cgHsxGwaIiIjobUyUcvT3ckV/L1fEp6hw/mkkTvqH45R/GF7GpuD0o3CcfhSOOQcAV2tjtKxihxaV7dCogjXMDYvf1OhqjRaPXifgelA0rgdF40ZQDJ5HJGZYRymXok01e3SrXQ6tqtpzohYqUAzV+RAREYFu3bohoJgNA0RERJQXZoYKdKjhiA41HCGEwOOwBJz0D8OpR+G4/DwKQVFJWH8hEOsvBAIAHMyV8LQ3haedKTz+/tPT3hR2Zsoim577zV3o60HRuB4Yg1shMUhK02Rar6KdCeq7WqGJpw3aVnOAWTH8QEClA0N1PvTv3x/9+/fHxYsX9V0KERFRgZBIJKjsYIbKDmYY09wDialqnH8aiVOP0kN2cFQyXsel4nVcKs49icywrZmhHB5/B2xPe1O425jAVCmHoUIKpVwGpUIKpVwKQ4UMSrkUUqGFVvyzvVYrEJ2QirD4VITHp/8ZFp+i+3v4m+VxKUjMIkCbKuWo62KJ+q6WqOdmhXoulrA0NijsbxkRAIbqfFm+fDkqVqyIqVOn5rhuamoqUlP/ebo4Li4OAKBSqaAq5D5lb47z7z+JcsJrhvKK10zpZCAFWlayRstK1kCXqohLVuFpRCKehqe/nv39Z3B0EuJT1LgZHIObwTFv3Z/QaqCOCYUqKgSqyBdQlquMT64ooJx1GCkrH0CtvZ/r2iraGqOuiyXquViinosFPO1NMz1kyOuxdCnqdiYvx5EIIUTOq5VdPXr0wMkshgGaN28eJk2aBCD9U/3z58+z7VM9e/ZsfPXVV5mWb968GcbGxgVVLhERkV6otEB4MvA6WYLQZOBFVBJCXr5E/OsQJEaEICk8BCmRIUiLegVo1brtTOt0hE3HSRn2ZSoXMDMALBTpf5orAHMDkf6nQsDcADA3AAzZJZoKWVJSEvz8/BAbGwtzc/Ns12WozsHr16+RnMUwQNbW1rpvbm5CdVZ3ql1cXBAREZHjP1JBUKlUOHbsGNq1aweFgv3JKGe8ZiiveM2UPVqtFkFBQfD399e9Hjz0x8OHDxER/s+MhIaW9pBalYfM2hkK6/KQWzsj5fl1JFzbiwX/+wW9+vWHBuldRGxNDaCQcSQOylpRtzNxcXGwtbXNVahm948cOLxtGKA8UiqVUCqVmZYrFIoi/eFT1Mejko/XDOUVr5nSb8qUKTj+5wk8efIYaakpAACZQgmlrTNgUQ6KSm1g61MeChsXyK3KQ2qQcVp0bWoSog98j2FDh6Kye3m42JjxmqE8Kap2Ji/HYKgmIiKiPPnr5Cncv38Pli2GwNKuAhQ2zpCZ20Eiyd0d5rjLuyFRp+KLL77A7du3C7laoqLB368QERFRnmxcvw4KuRyaxBgYVWwAuYVDrgO1JjEGCdf24IPJk+Ds7FzIlRIVHYZqIiIiypM6depgwYL5iL+yB8nPb+Rp29gL22BkoMD06dMLqToi/WCoLgBCCM6mSEREZcrUqVPRunUbxBz+CZqk2Fxto4oJReLNQ/h8+mewtrYu5AqJihZDNREREeWZVCrFhg3rYSTVIubYb7naJvbsJtjY2OCDDz4o5OqIih4fVCQiIqI802g0WLNmDeLj42BknZjj+mlhz5F4/yS+X7wYJiYmRVAhUdFiqCYiIqI8CQwMxAC/gbh44QLMfPrAssmAHLeJO7MBbu4VMGrUqCKokKjoMVQTERFRrm3ZsgWjx46FWmYE+wHfwNClpu49TWIMpMYWkEgyThWeEnIPiU8uY+WWLRyPmkot9qkmIiKiHMXGxmLgoEHw8/MDXOrDfugvukAttBrEnNmEF4uHIOb0+gzbCSEQf3odatWpi759++qjdKIiwTvVRERElK1z586hv99AhIaFw6br/8G0Rivde6roV4g++D+khj5GmzatcfzPHTCqUB+GrrUAAMlPryAp+D6+X3EYUinv5VHpxaubiIiIsqRWqzFr1iw0b94ckVoT2A/9RReohRBIuPMnwtZ9ADtFKs6dPYvDhw+jadNmiDn0IzQpCRBaDeLPrEez5i3Qvn17PZ8NUeHinWoiIiLK5OnTp+g/wA/Xrl2DeeMBsPDtC4lUBgDQpCQg+uhiJD44gyFDhmLRol9hZmYGANi8aSNq1KyF6KOLYVixIVLCAvD9vq2Z+lkTlTYM1URERKQjhMC6deswcdIkaJTmcPD7FsryVXXvpwTdRvQfP0Ip0rB161b069cvw/YuLi5YuWI5+vXrh+SnV/Fejx7w9vYu6tMgKnLs/kFEREQAgOjoaPTp2xfDhw+HtKIv7If8rAvUQqNC9Mm1eL11BrxqV8O9u3cyBeo3+vbti8GDhwDqVHzz9ddFeQpEesNQTURERDh58iRq1KyFfQcPw7b7p7DpPBVSpTEAQBUZgvBN05B4bQ8WzJ+Pkyf+gouLS7b7W7VqJR48eIDq1asXRflEesfuH0RERGVYWloaZs6cie+//x6GLjVhP2we5OZ2AP5+GPHWEcSeWAk3Vxf8vv8iGjRokKv9KhQKVK5cuTBLJypWGKqJiIjKKH9/f/TrPwB37tyGRfOhMPd6/5+HEZNiEX3kVyQ+uojRo0fjxx9/5PTiRNlgqCYiIipjhBBYsWIFpkz9EDCxhv2g/0Hp6Kl7P/n5dcQc+gnGcmD37t3o0aOH/oolKiEYqomIiMqQiIgIjBg5Evv37YNp3Y6wajUKUgNDAIBQpyH61DrEX92LNm3aYv36dShXrpyeKyYqGRiqiYiIyoijR49i0OAhiElMgV3PL2BcyUf3Xlp4IKIP/g+aqBD88MMPmDJlCmdAJMoDhmoiIqJSLiUlBZ999hl+/vlnGFesD/s+UyE3tQaQ3hUk/voBxJ1aC0+Pith25DLq1Kmj54qJSh6GaiIiolLs7t276Nd/AB76+8Oq9WiYNewGiST9DrQmMRpRh35B0tMrmDhxIr7//nsYGRnpuWKikomhWk+EEACAuLi4IjmeSqVCUlIS4uLioFAoiuSYVLLxmqG84jVTvAghsHz5csz44gvILJ3gMPgHGNhX0L2f9PQKYg79DDNDOdZt34727dtDpVJBpVIVWY28ZiivivqaeZPT3uS27EhEbtaiAhcSEpLjwPlERETvTCIBhIBZg26wbDEMUoUSAKBVpSLm5GrEXz8IQAKAMYAoJ8HBwXB2ds52HYZqPdFqtXj58iXMzMwgkUgK/XhxcXFwcXFBcHAwzM3NC/14VPLxmqG84jVTPBw+fBjjxk9AYpoWlh2nwMijoe69tNfPEH1wIbRxr/HN119j1KhRRfIz6G14zVBeFfU1I4RAfHw8ypUrl+ODu+z+oSdSqTTHTzyFwdzcnA0X5QmvGcorXjP6kZSUhI8//hi//fYbTDy9YN/xA8hMLAEAQmgRf2UvYs+sR/Vq1bDt5KFiNX04rxnKq6K8ZiwsLHK1HkM1ERFRCXfz5k307T8Az549h3X7CTCt20l3B1odH4noQz8i6flNfPTRR/jmm2+gVCr1XDFR6cNQTUREVILFxcXBx9cXMLWFw5CfoLD953mdpEfnEXNkEazMjLH32DG0bdtWj5USlW4c1b2MUCqV+PLLL3l3gnKN1wzlFa8Z/TAzM0PbNm2hTY6H1NAUAKBNS0bk4V8QvvsbdG7fGvfv3S2WgZrXDOVVcb5m+KAiERFRCRcWFoYaNWshycwF5k38EPPHD0BSNH795WeMHDlSrw8jEpUVDNVERESlwOHDh9GpUycAQN169bFt6xZUrlxZz1URlR0M1URERMVMVFQUrK2tdV+npaUhLS0Npqam2W63cOFCJCYmYvr06TAwMCjsMonoXxiqiYiIcnDu3Dl06tQJtWvXzvSeEALnz59HUlJStlN8t2nTBr169cKECROyPVZKSgqcnJywdu1avPfeewCA48ePo3v37oiMjOQ04kTFFEf/ICqB9u3bB1dXV9StW1ffpegcPXoUZmZm8PX11XcpRAXO2NgYtra2GDRoUKb31Go1zp8/n2PYNTQ0zNW0yvv27YO9vT2io6NRoUIFyGQyJCcnQ6VSoVatWrpjTps2DRMnTny3E3rLcdmuEL07jv5RBty9exeNGjWClZUVpk2blqv566n4unfvHj799FM4OjoW6H537tyJ3bt3v/P2zs7OGD58OEJDQwuwKiqpAgICSt3DcVqtFikpKVm+AOTYtioUihy/J0IIzJs3D5MnT8agQYPw5MkTPHnyBPPnz0fDhg11Xz9+/Bhjx44tsHPLql2JjIzE+fPnERER8c77ZbtCebV3715UrFgRcrkc3t7eePDgQa62Kw5tDkN1KZeamopu3bqhQYMGuHr1Ku7fv4+1a9fquyzKh/Hjx2P58uWZfvhVqFABAQEB77RPrVaLdevWoWvXrgDerVGrXr06ZsyYgc8+++ydaigODSIVHFdXV0RHR+u7jAKTnJyMmJgYbN26NdNr+/bturvJ/yaEwM8//4zw8PBM+9u+fTtCQkIyLV+9ejXu3LkDR0dHyOVyzJo1Cw0bNsQXX3yB+/fvo2HDhmjYsCH27t0Lubzgftn833Zl69at8PT0xMSJE+Hq6oqtW7fmeZ//bVey87Y2J7/tSnbY5hQ/T58+xfDhw7FgwQK8ePECbm5uGDVqVK62LRZtjqBSbffu3cLKykokJiYKIYS4efOmaNKkiZ6rond1/Phx0aNHjwzLwsPDhY+PjwAgnj9//k773bhxo1i3bp0QQognT54IKysrsW3bNhEaGir69OkjGjdunKv9aLVa0aBBA/Hs2bM816DRaER0dHSetyMqTFqtViQlJeVqXZVKlWHda9euCalUKkJCQoQQQrz33ntixYoVQgghunfvLkaMGJFh+4CAAGFpaSkcHBzE9u3bhRBCDB48WPz2228Z1hs7dqxYtWrVO5/Tf/23XYmOjha2trbizp07Qggh1q9fL1xdXfO833+3K9nJqc3JT7uSHbY5xc/+/fszXO9//fWXMDAw0GNFecM71aXcrVu34OPjA2NjYwBA7dq1cf/+fT1XRe9q165dmfp09u/fH/3793/nfarVamzbtg0DBw4EADx48ADffPMN+vbtCwcHB4wfPx5Xr17N1b4kEgn69++PXbt25bkOqVQKS0vLPG9H+rF27Vp4eXnhvffeg4WFBTp27IhXr17p3i8tdwEjIiJQq1YtWFpaws3NDTVr1oSbmxusra1Rs2bNTK8BAwbott25cyfatGmD8uXLZ9rv/PnzsXHjRvj7+2dYv3379vDx8dEtk0qlmDVrFjw9PXWvLVu2QCotuB/f/21X4uPj8dNPP6FmzZoAgDp16uT5DuB/25Xs5NTm5KddyQ7bnOKna9euGDdunO5rf39/eHp65tjeAMWjzWGoLuXi4uJQoUIF3dcSiQQymUz/vyKhd3Lr1i14e3tnWLZ8+XJMmTLlnfe5du1aDB48GDKZDMDbG7Xc8vHxwa1btzIdoyQ0iJQ3V65cga+vL27evAmlUpnhuikt7Ozs8OTJE/To0QN+fn6YPXs2+vfvj549e2Lu3LmYOXMmZs+ejdmzZ2Pz5s3Ys2cPgPSuDxs3bsSwYcOy3G/16tXh5+eHr776Srfsww8/xMqVKzOtO2fOHF1f6idPnmQI7gXhv+2Ki4uLLgyrVCosXLgQPXv2zNM+/9uuZCc3bU5W7UpOx2ebU7KlpaVh4cKFutFySkJ7w1Bdysnl8kxTeRoaGiIpKUlPFVF+hIeHw97ePsOyihUrvvP+0tLSsH//fvTu3fut7/+7UcsNOzs7hIWFZVpeEhpEyhtnZ2d8+umnqFChAmbPno2DBw9CrVbru6xCk5KSgoSEBF3f6evXr2PNmjVISEjAkiVLcOXKFd26Bw4cQFxcXLZh9KOPPsLvv/+O58+fA0i/6WFmZpZpvblz52a4G/77778X6Hll1a4A6WHbwcEBR48exU8//ZTr/eXUruS0bVZtztvaleywzSnZvvjiC5iammLMmDEASkZ7w1BdyllbW2d6SCY+Pp6TApRQpqamiI+PL7D9LVu2DKNGjXrr3Zr/Nmq5ER8fn+UEFSWhQaS8cXZ21l075cuXh0ajQWRkpJ6rKjyHDh3C0qVLceTIEQDpoTgiIgIDBw7E69evM4TIr776CkOHDoWhoeFb91erVi00a9YMZ86cyfa4M2fOxN27d3Wvvn37FswJ/e1t7Urt2rXx559/okaNGhg+fHiu95dTu5Kdt7U5b2tXssM2p+Q6duwYli5dis2bN+uGoSwJ7Q3HqS7lGjVqlOHXiQEBAUhNTc0wUxeVHG5ubnj27BlsbGzyva/k5GT89ddfbx3u6k2jdvHixVyNrfvGs2fP4Obmlmn52xpEBweHdzsB0rugoCBotVpIpVIEBQVBLpfD1tZW32UVmvnz56NOnTrYtm0btm7dips3b6Jjx45o1aoV2rRpk+H/5ZIlS+Ds7JzjPo8cOZLjTY65c+di0aJFuq9fvnyZod91fr2tXZFIJKhXrx7Wrl0LNzc3REdHw8rKKtt95dSuZCe7Nudt7Up22OaUTM+ePcPAgQPx22+/oXr16rrlJaG94Z3qUq558+aIjY3F+vXrAQALFixA27Ztc9XPjYqfjh07Yt++fQWyr0WLFr114oi3NWq5sX//fnTu3DnT8jcN4pu/F8cGkfLm5cuXmD9/Pp4/f445c+bgvffeK5Vty/Dhw3HkyBHMnz8f3333HR49eoQKFSrAy8sLzs7OSE5OxrVr17Bjxw4kJiYCALy9vTM9oKhSqTLdvc0qUGs0GqSlpUGlUgF4+53q1NTUAjm//7Yrf/31F6ZNm6b7+s3Qfbl5ODK7diU7ObU5b2tXssM2p+RJTk5G165d0aNHD7z33ntISEhAQkIChBAlo73R9/AjVPh2794tjIyMhL29vbCxsRF3797Vd0n0jqKiokTlypVFZGRkpveQhyH14uLiRK9evbJ8LykpSVSrVk2MHj1axMfH615arTbH/fr7+4s6deoItVqdYfmaNWsEADFv3jzx7Nkz0a1bt0zHf/78uWCTVHKsWbNG+Pj4iF69eglzc3PRoUMH8erVK937penfMygoSKSkpOi+3rhxoxg4cKCYPn26mDRpkkhLSxPPnj0TY8eOFT/88EOm7c+dOycaNGggFAqFOHfuXI7Ha9OmjZg1a5ZwcnISrq6uws3NLdPL1dVVeHh4FMj5/bddefHihTAzMxPLli0TQUFBYsiQIaJDhw457ie7diU7ObU5b2tXssM2p2TavXu3AJDplVN7I0Tx+Pfk1VRGhISEiD179oiwsDB9l0L5tGzZMtGnT59MITcvoXrOnDnizJkzWb73tkYtp32npKSIpk2biiNHjmR6r6Q0iJR7a9asES1atNB3GXqVmw+aQgiRnJwsli5dKq5fv17IFb27/7Yrhw8fFtWqVRNmZmaid+/eufrZkV27kp3s2pzs2pXssM0pXUpKe8M+1WVE+fLlsxwrlUqeMWPG4OLFizh27Bjat2+vWy7yMP18z549UaNGjSzf69GjxztNZb9u3Tq0adMmQ03/plQqsWPHjrdu7+7u/k7HJdKX3D6IZ2hoWKBTiheG/7YrHTp0yPOcBtm1K9nJrs1Zvnx5tu1KdtjmUFGTCF5RRCWORqMpdn3JtFotJBJJlkFj7dq1WLt2LU6ePFn0hRFRrpS0diU7bHNIHxiqiYiIiIjyiaN/EBERERHlE0M1EREREVE+MVQTEREREeUTQzURERERUT4xVBMRERER5RNDNRERERFRPjFUExERERHlE0M1EREREVE+MVQTEVG+vHr1ChYWFrh48SIAYM6cOWjSpAmngCaiMoUzKhIRUb798MMP2Lt3L3bs2IHKlSvjxIkTqFu3rr7LIiIqMgzVRESUb2q1GnXr1oWxsTG8vb3x66+/6rskIqIixe4fRESUb3K5HKNGjcKVK1cwbtw4fZdDRFTkeKeaiIjyLT4+HtWqVUONGjVgamqKnTt36rskIqIixTvVRESUb59//jkaN26MnTt34uLFizhw4IC+SyIiKlK8U01ERPly+fJltG7dGvfu3YObmxs2bdqEGTNm4N69ezAxMdF3eURERYKhmoiIiIgon9j9g4iIiIgonxiqiYiIiIjyiaGaiIiIiCifGKqJiIiIiPKJoZqIiIiIKJ8YqomIiIiI8omhmoiIiIgonxiqiYiIiIjyiaGaiIiIiCifGKqJiIiIiPLp/wFULIYaUhjeoAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 绘图 sin(x)\n",
    "\n",
    "# 基本绘图（如果只是看趋势和大概样子，到这一步就可以了）\n",
    "fig = plt.figure(figsize=(8, 3))\n",
    "x = np.linspace(0, 2 * np.pi)\n",
    "y = np.sin(x)\n",
    "plt.plot(x, y)\n",
    "\n",
    "\n",
    "# 绘图属性配置\n",
    "# “矫正”图形 liuyang\n",
    "plt.axis('equal')      # 实际的样子\n",
    "plt.yticks([-1, 0, 1]) # 控制y轴值域\n",
    "plt.xticks(ticks=[0, np.pi * (1 / 2), np.pi, np.pi * (3 / 2), np.pi * 2]\n",
    "          , labels=['0', '(1 /2 )pi', 'pi', '(3 / 2) pi', '2pi'])\n",
    "#plt.grid(axis='y')     # 控制显示网格\n",
    "plt.grid()\n",
    "\n",
    "plt.title('这是sin(x)在一个周期内的图像')\n",
    "plt.legend(['sin'])\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y=sin(x)'\n",
    "           , rotation=0\n",
    "           , ha='right')\n",
    "\n",
    "\n",
    "# 实用文本标注特殊值\n",
    "#x1 = [0, np.pi * (1 / 2), np.pi, np.pi * (3 / 2), np.pi * 2]\n",
    "#y1 = np.sin(x1) # TODO 计算误差，如何解？ \n",
    "x1 = [0, np.pi * (1 / 2), np.pi, np.pi * (3 / 2), np.pi * 2]\n",
    "y1 = [0, 1, 0, -1, 0]\n",
    "for a, b in zip(x1, y1):\n",
    "    plt.text(\n",
    "        x=a\n",
    "        , y=b\n",
    "        , s=b\n",
    "        , va='bottom'\n",
    "        , ha='center'\n",
    "        , color='r'\n",
    "    )\n",
    "\n",
    "# 注释指出极值点\n",
    "plt.annotate(\n",
    "    text='最大值'                          # 标注内容\n",
    "    , xy=(np.pi * (1 / 2), 1)              # 箭头（如果设置显示的话）会指向的位置\n",
    "    , xytext=(np.pi * (1 / 2) - 1, 1 + 0.5)      # 文字会出现的位置\n",
    "    , arrowprops = {\n",
    "        'width': 3\n",
    "    }\n",
    ")\n",
    "\n",
    "plt.annotate(\n",
    "    text='最小值'                          # 标注内容\n",
    "    , xy=(np.pi * (3 / 2), -1)              # 箭头（如果设置显示的话）会指向的位置\n",
    "    , xytext=(np.pi * (3 / 2) - 1, -1 - 0.5)      # 文字会出现的位置\n",
    "    , arrowprops = {\n",
    "        'width': 3\n",
    "    }\n",
    ")\n",
    "\n",
    "\n",
    "# 保存图片\n",
    "\n",
    "# 方法1 通过plt\n",
    "#plt.savefig('data/matplotlib_liuyang_202310122102_plt.png')\n",
    "\n",
    "# 方法2 通过fig\n",
    "fig.savefig(fname='data/matplotlib_liuyang_202310122102_fig.png'\n",
    "           , dpi=224)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
